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Previous year question hub

Application Of Derivatives - Calculus - Mathematics Previous Year Questions

Practice Application Of Derivatives - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

60Papers
7Years
224Questions
1Topics

Application Of Derivatives question pattern

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Difficulty distribution

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Not classified 224 100%

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Multiple Choices 224 100%

Subject weightage

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Mathematics
224 Qs

Most asked topics

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Calculus
224 Qs

Subtopic coverage

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Application Of Derivatives
224 Qs

Paper coverage

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MHT CET 2025 19TH APRIL MORNING SHIFT
4 Qs
MHT CET 2025 21ST APRIL EVENING SHIFT
4 Qs
MHT CET 2025 21ST APRIL MORNING SHIFT
4 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
4 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
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MHT CET 2025 23RD APRIL MORNING SHIFT
4 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
4 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
4 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
4 Qs
MHT CET 2025 19TH APRIL EVENING SHIFT
3 Qs
MHT CET 2025 20TH APRIL EVENING SHIFT
3 Qs
MHT CET 2025 20TH APRIL MORNING SHIFT
3 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
3 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
3 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
2 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
5 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
5 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
5 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
5 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
5 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
5 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
5 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
3 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
3 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
3 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
3 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
6 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
6 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
5 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
5 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
5 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
5 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
5 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
3 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
3 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
3 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
2 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
5 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 23th September Morning Shift
3 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
2 Qs
MHT CET 2020 16TH OCTOBER EVENING SHIFT
3 Qs
MHT CET 2020 19TH OCTOBER EVENING SHIFT
3 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
2 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
4 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
3 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
3 Qs

Included previous year papers

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PaperYear / sessionQuestions in this viewOpen
MHT CET 2025 19TH APRIL EVENING SHIFT20253View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20254View paper
MHT CET 2025 20TH APRIL EVENING SHIFT20253View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20253View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20254View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20254View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20254View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20253View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20254View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20254View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20254View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20252View paper
MHT CET 2025 26TH APRIL EVENING SHIFT20254View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20253View paper
MHT CET 2025 5TH MAY EVENING SHIFT20254View paper
MHT CET 2024 10TH MAY EVENING SHIFT20243View paper
MHT CET 2024 10TH MAY MORNING SHIFT20243View paper
MHT CET 2024 11TH MAY EVENING SHIFT20244View paper
MHT CET 2024 11TH MAY MORNING SHIFT20244View paper
MHT CET 2024 15TH MAY EVENING SHIFT20245View paper
MHT CET 2024 15TH MAY MORNING SHIFT20243View paper
MHT CET 2024 16TH MAY EVENING SHIFT20244View paper
MHT CET 2024 16TH MAY MORNING SHIFT20245View paper
MHT CET 2024 2ND MAY EVENING SHIFT20245View paper
MHT CET 2024 2ND MAY MORNING SHIFT20243View paper
MHT CET 2024 3RD MAY EVENING SHIFT20245View paper
MHT CET 2024 3RD MAY MORNING SHIFT20245View paper
MHT CET 2024 4TH MAY EVENING SHIFT20242View paper
MHT CET 2024 4TH MAY MORNING SHIFT20245View paper
MHT CET 2024 9TH MAY EVENING SHIFT20244View paper
MHT CET 2024 9TH MAY MORNING SHIFT20245View paper
MHT CET 2023 10TH MAY EVENING SHIFT20236View paper
MHT CET 2023 10TH MAY MORNING SHIFT20235View paper
MHT CET 2023 11TH MAY EVENING SHIFT20235View paper
MHT CET 2023 11TH MAY MORNING SHIFT20232View paper
MHT CET 2023 12TH MAY EVENING SHIFT20235View paper
MHT CET 2023 12TH MAY MORNING SHIFT20233View paper
MHT CET 2023 13TH MAY EVENING SHIFT20235View paper
MHT CET 2023 13TH MAY MORNING SHIFT20233View paper
MHT CET 2023 14TH MAY EVENING SHIFT20234View paper
MHT CET 2023 14TH MAY MORNING SHIFT20233View paper
MHT CET 2023 9TH MAY EVENING SHIFT20236View paper
MHT CET 2023 9TH MAY MORNING SHIFT20235View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20225View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20212View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 23th September Morning Shift20213View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20203View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20202View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20203View paper
MHT CET 2019 2ND MAY EVENING SHIFT20193View paper
MHT CET 2019 2ND MAY MORNING SHIFT20193View paper
MHT CET 2019 3RD MAY MORNING SHIFT20194View paper

All Application Of Derivatives previous year questions

Practice every matching question in batches of 20, with every available option.

1
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 2ND MAY EVENING SHIFT

Using differentiation, approximate value of $f(x)=x^2-2 x+1$ at $x=2.99$ is ............

A
3.96
B
9.96
C
4.98
D
5.98
Open complete paper
2
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 2ND MAY EVENING SHIFT

A particle moves so that $x=2+27 t-t^3$. The direction of motion reverses after moving a distance of ....... units.

A
80
B
56
C
60
D
65
Open complete paper
3
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 2ND MAY EVENING SHIFT

The function $f(x)=x^3-3 x$ is ............

A
increasing in $(-\infty,-1) \cup(1, \infty)$ and decreasing in $(-1,1)$
B
increasing in $(0, \infty)$ and decreasing in $(-\infty, 0)$
C
decreasing in $(0, \infty)$ and increasing in $(-\infty, 0)$
D
decreasing in $(-\infty,-1) \cup(1, \infty)$ and increasing in $(-1,1)$
Open complete paper
4
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 2ND MAY MORNING SHIFT

A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of $5 \mathrm{~cm} / \mathrm{sec}$. Then area increased after 2 seconds is ............

A
$100 \pi \mathrm{~cm}^2 / \mathrm{sec}$
B
$40 \mathrm{~cm}^2 / \mathrm{sec}$
C
$50 \mathrm{~cm}^2 / \mathrm{sec}$
D
$25 \mathrm{~cm}^2 / \mathrm{sec}$
Open complete paper
5
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 2ND MAY MORNING SHIFT

The equation of normal to the curve $y=\log _\theta x$ at the point $P(1,0)$ is ............

A
$2 x+y=2$
B
$x-2 y=1$
C
$x-y=1$
D
$x+y=1$
Open complete paper
6
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 2ND MAY MORNING SHIFT

If $f(x)=3 x^3-9 x^2-27 x+15$, then the maximum value of $f(x)$ is ...........

A
$-66$
B
30
C
$-30$
D
66
Open complete paper
7
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 3RD MAY MORNING SHIFT

- The edge of a cube is decreasing at the rate of $0.04 \mathrm{~cm} / \mathrm{sec}$. If the edge of the cube is 10 cms , then rate of decrease of surface area of the cube is...

A
$4.8 \mathrm{~cm}^2 / \mathrm{sec}$
B
$4.08 \mathrm{~cm}^2 / \mathrm{sec}$
C
$48 \mathrm{~cm}^2 / \mathrm{sec}$
D
$4.008 \mathrm{~cm}^2 / \mathrm{sec}$
Open complete paper
8
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 3RD MAY MORNING SHIFT

If $f(x)=x+\frac{1}{x}, x \neq 0$, then local maximum and minimum values of function $f$ are respectively.......

A
$-1$ and 1
B
$-2$ and 2
C
2 and $-2$
D
1 and $-1$
Open complete paper
9
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 3RD MAY MORNING SHIFT

If $r$ is the radius of spherical balloon at time $t$ and the surface area of balloon changes at a constant rate $K$, then......

A
$4 \pi r^2=\frac{K t^2}{2}+c$
B
$8 \pi r^2=K t+c$
C
$\pi r^2=\frac{K t^2}{2}+c$
D
$4 \pi r^2=\dot{K} t+c$
Open complete paper
10
2019 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2019 3RD MAY MORNING SHIFT

The slope of normal to the curve $x=\sqrt{t}$ and $y=t-\frac{1}{\sqrt{t}}$ at $t=4$ is ..........

A
$\frac{-17}{4}$
B
$\frac{4}{17}$
C
$\frac{-4}{17}$
D
$\frac{17}{4}$
Open complete paper
11
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 16TH OCTOBER EVENING SHIFT

$$\text { If } \sin (x+y)+\cos (x+y)=\sin \left[\cos ^{-1}\left(\frac{1}{3}\right)\right] \text {, then } \frac{dy}{dx}=$$

A
1
B
\(-\)
C
\(\frac{1}{2}\)
D
0
Open complete paper
12
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 16TH OCTOBER EVENING SHIFT

For every value of \(x\), the function \(f(x)=\frac{1}{a^x}, a>\) 0 is,

A
neither increasing nor decreasing
B
decreasing
C
constant
D
increasing
Open complete paper
13
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The equation of normal to the curve \(y=\sin \left(\frac{\pi x}{4}\right)\) at the point \((2,5)\) is

A
\(x=2\)
B
\(x+y=5\)
C
\(x+y=2\)
D
\(y=5\)
Open complete paper
14
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The equation of tangent at \(P(-4,-4)\) on the curve \(x^2=-4 y\) is

A
\(2 x-y+4=0\)
B
\(2 x+y-4=0\)
C
\(3 x-y+8=0\)
D
\(2 x+y+4=0\)
Open complete paper
15
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If \(f(x)=\log (\sin x), x \in\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right]\), then value of '\(c\)' by applying LMVT is

A
\(\frac{\pi}{2}\)
B
\(\frac{2 \pi}{3}\)
C
\(\frac{3 \pi}{4}\)
D
\(\frac{\pi}{4}\)
Open complete paper
16
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The area of the square increases at the rate of $0.5 \mathrm{~cm}^2 / \mathrm{sec}$. The rate at which its perimeter is increasing when the side of the square is 10 cm long, is

A
$0.2 \mathrm{~cm} / \mathrm{sec}$
B
$0.3 \mathrm{~cm} / \mathrm{sec}$
C
$0.4 \mathrm{~cm} / \mathrm{sec}$
D
$0.1 \mathrm{~cm} / \mathrm{sec}$
Open complete paper
17
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The maximum volume of a right circular cylinder if the sum of its radius and height is 6 m is

A
$64 \pi \mathrm{~m}^3$
B
$16 \pi m^3$
C
$32 \pi \mathrm{~m}^3$
D
$4 \pi m^3$
Open complete paper
18
2020 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The equation of the normal to the curve $2 x^2+y^2=12$ at the point $(2,2)$ is

A
$2 x+y-6=0$
B
$x-2 y+2=0$
C
$2 x-y+6=0$
D
$x+2 y+2=0$
Open complete paper
19
2021 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

The equation of tangent to the circle \(x^2+y^2=64\) at the point \(\mathrm{P\left(\frac{2\pi}{3}\right)}\) is

A
\(x-\sqrt3 y-16=0\)
B
\(\sqrt3x+y-16=0\)
C
\(x+\sqrt3y+16=0\)
D
\(x-\sqrt3y+16=0\)
Open complete paper
20
2021 · Mathematics · Calculus · Application Of Derivatives
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

The surface area of a spherical balloon is increasing at the rate \(2 \mathrm{~cm}^2 / \mathrm{sec}\). Then rate of increase in the volume of the balloon is , when the radius of the balloon is \(6 \mathrm{~cm}\).

A
\(4 \mathrm{~cm}^3 / \mathrm{sec}\).
B
\(16 \mathrm{~cm}^3 / \mathrm{sec}\).
C
\(36 \mathrm{~cm}^3 / \mathrm{sec}\).
D
\(6 \mathrm{~cm}^3 / \mathrm{sec}\).
Open complete paper

Showing 20 of 224 questions