MHT CET PYQs for Differentiability with Solutions: Practice MHT CET Previous Year Questions

Content Curator | Updated on - Nov 2, 2026

Differentiability is a topic from Class 12 Mathematics, and it is part of the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Differentiability PYQs are:

Points of non-differentiability of a function
Differentiability of a function with a modulus
Twice differentiable functions

Practising Differentiability MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get less than 1 mark per paper by covering Differentiability. The chapter recorded 3 questions across the 80 shifts in the data, and none of them came in the 2025 and 2026 papers.

MHT CET Differentiability Topic: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2023-2024)	3
Questions in the 2025 and 2026 papers (33 shifts)	0
Questions in the 2018 to 2026 papers (80 shifts)	3
Typical number of Mathematics questions from this topic in one shift	Fewer than 1 out of 50
Marks for each question	2

The PDF holds 3 questions from MHT CET 2024 to 2023, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Differentiability PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Differentiability PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	0	16	Fewer than 1 out of 50
2025	0	17	Fewer than 1 out of 50
2024	2	18	Fewer than 1 out of 50
2023	1	12	Fewer than 1 out of 50
2022	0	1	Fewer than 1 out of 50

The 2018 to 2021 papers in the PDF add 0 more questions: 2021 had none, 2020 had none, 2019 had none, 2018 had none.

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Differentiability PYQs

All three questions in this PDF are single-correct MCQs on where a function is or is not differentiable.

Question Style	What it Tests
Points where a function is not differentiable	The set of all real values of x where a given function is not differentiable
Function with a modulus	A function involving cos \|x\| that is not differentiable at a given point
Twice differentiable function	The value of an expression when f is twice differentiable and some values are given

How to Use the Differentiability PYQ PDF for MHT CET

Start with the newest papers in the PDF, 2024 first, because the topic had no question in 2025 and 2026.
Check the left hand and right hand derivatives at the point where the function changes its form.
For a modulus function, split it into its two pieces at the point where the expression inside is zero.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Differentiability PYQs and MCQs

Source: V Maharashtra Boards + MHT CET

Differentiability PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Differentiability every year?

Ans. In this PDF, the questions are 2 from 2024 and 1 from 2023. In 2025 and 2026 together the topic had 0 questions across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Differentiability?

Ans. Single-correct MCQs on the points where a function is or is not differentiable.

Ques. What is the best way to practise Differentiability PYQs?

Ans. Solve the questions from the newest paper first, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Differentiability?

Ans. The topic had no questions in the 2025 and 2026 papers. Learning how to compare the left hand and right hand derivatives is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Differentiability PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

1.
Find the derivative of the function $ f(x) = 3x^2 - 5x + 7 $.
- $ 6x - 5 $
- $ 6x + 5 $
- $ 3x^2 + 5 $
- $ 3x^2 - 5 $
View Solution
2.
The Boolean expression $ (\sim(p \land q)) \lor q $ is equivalent to:
- $ q \to (p \land q) $
- $ p \to q $
- $ p \sim(p \to q) $
- $ p \to (p \lor q) $
View Solution
3.
If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at $x = 0$, then $K = ?$
- $e$
- $e^{-1}$
- $e^2$
- $e^{-2}$
View Solution
4.
For what value of $k$, the function defined by $ f(x) = \begin{cases} \frac{log(1+2x)sin\,x^\circ}{x^2} & \text{for } x \ge \text {0}\\ k & \text{for } x = \text{ 0} \end{cases}$ is continuous at $x = 0$ ?
- $2$
- $\frac{1}{2}$
- $\frac{\pi}{90}$
- $\frac{90}{\pi}$
View Solution
5.
$ \int_{\pi/11}^{9\pi/22} \frac{dx}{1 + \sqrt{\tan x}} $ is equal to:
- $ \frac{\pi}{4} $
- $ \frac{\pi}{22} $
- $ \frac{\pi}{11} $
- $ \frac{7\pi}{44} $
View Solution
6.
Derivative of $log \left(sec\,\theta +tan \,\theta\right) $ with respect to $sec\, \theta$ at $\theta = \pi/4$ is
- $0$
- $1$
- $\frac{1}{\sqrt2}$
- $\sqrt2$
View Solution
7.
If the derivative of the function $f(x) = \{\begin{array}{cc}ax^2+b & \text{if }x < -1 \\ bx^2+ax+4 & \text{if }x\geq -1\end{array}$ is continuous everywhere then
- $a = 2,b = 3$
- $a = 3,b = 2$
- $a = -2,b = 3$
- $a = -3,b = -2$
View Solution
8.
If Rolle�s theorem for $f\left(x\right)= e^{x} \left(sinx - cosx\right)$ is verified on $[\pi/4$, $5 \pi/4]$, then the value of $c$ is
- $\pi/3$
- $\pi/2$
- $3\pi/4$
- $\pi$
View Solution

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MHT CET PYQs for Differentiability with Solutions: Practice MHT CET Previous Year Questions

Differentiability PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Differentiability PYQs

How to Use the Differentiability PYQ PDF for MHT CET

Video: Differentiability PYQs and MCQs

Differentiability PYQ for MHT CET Mathematics FAQs

1.
Find the derivative of the function \( f(x) = 3x^2 - 5x + 7 \).

2.
The Boolean expression \( (\sim(p \land q)) \lor q \) is equivalent to:

3.
If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at $x = 0$, then $K = ?$

4.
For what value of $k$, the function defined by $ f(x) = \begin{cases} \frac{log(1+2x)sin\,x^\circ}{x^2} & \text{for } x \ge \text {0}\\ k & \text{for } x = \text{ 0} \end{cases}$ is continuous at $x = 0$ ?

5.
\( \int_{\pi/11}^{9\pi/22} \frac{dx}{1 + \sqrt{\tan x}} \) is equal to:

6.
Derivative of $log \left(sec\,\theta +tan \,\theta\right) $ with respect to $sec\, \theta$ at $\theta = \pi/4$ is

7.
If the derivative of the function \(f(x) = \{\begin{array}{cc}ax^2+b & \text{if }x < -1 \\ bx^2+ax+4 & \text{if }x\geq -1\end{array}\) is continuous everywhere then

8.
If Rolle�s theorem for $f\left(x\right)= e^{x} \left(sinx - cosx\right)$ is verified on $[\pi/4$, $5 \pi/4]$, then the value of $c$ is

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Differentiability PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Differentiability PYQs

How to Use the Differentiability PYQ PDF for MHT CET

Video: Differentiability PYQs and MCQs

Differentiability PYQ for MHT CET Mathematics FAQs

1.Find the derivative of the function \( f(x) = 3x^2 - 5x + 7 \).

2.The Boolean expression \( (\sim(p \land q)) \lor q \) is equivalent to:

3.If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at $x = 0$, then $K = ?$

4.For what value of $k$, the function defined by $ f(x) = \begin{cases} \frac{log(1+2x)sin\,x^\circ}{x^2} & \text{for } x \ge \text {0}\\ k & \text{for } x = \text{ 0} \end{cases}$ is continuous at $x = 0$ ?

5.\( \int_{\pi/11}^{9\pi/22} \frac{dx}{1 + \sqrt{\tan x}} \) is equal to:

6.Derivative of $log \left(sec\,\theta +tan \,\theta\right) $ with respect to $sec\, \theta$ at $\theta = \pi/4$ is

7.If the derivative of the function \(f(x) = \{\begin{array}{cc}ax^2+b & \text{if }x < -1 \\ bx^2+ax+4 & \text{if }x\geq -1\end{array}\) is continuous everywhere then

8.If Rolle�s theorem for $f\left(x\right)= e^{x} \left(sinx - cosx\right)$ is verified on $[\pi/4$, $5 \pi/4]$, then the value of $c$ is

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1.
Find the derivative of the function \( f(x) = 3x^2 - 5x + 7 \).

2.
The Boolean expression \( (\sim(p \land q)) \lor q \) is equivalent to:

3.
If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at $x = 0$, then $K = ?$

4.
For what value of $k$, the function defined by $ f(x) = \begin{cases} \frac{log(1+2x)sin\,x^\circ}{x^2} & \text{for } x \ge \text {0}\\ k & \text{for } x = \text{ 0} \end{cases}$ is continuous at $x = 0$ ?

5.
\( \int_{\pi/11}^{9\pi/22} \frac{dx}{1 + \sqrt{\tan x}} \) is equal to:

6.
Derivative of $log \left(sec\,\theta +tan \,\theta\right) $ with respect to $sec\, \theta$ at $\theta = \pi/4$ is

7.
If the derivative of the function \(f(x) = \{\begin{array}{cc}ax^2+b & \text{if }x < -1 \\ bx^2+ax+4 & \text{if }x\geq -1\end{array}\) is continuous everywhere then

8.
If Rolle�s theorem for $f\left(x\right)= e^{x} \left(sinx - cosx\right)$ is verified on $[\pi/4$, $5 \pi/4]$, then the value of $c$ is