Differentiation PYQs - Last 10 Years

MHT CET / Mathematics / Calculus / 224 recent questions

MathematicsCalculus2017-2026

All Differentiation PYQs Last 5 Years Create chapter test

Practice 224 MHT CET Mathematics questions from Differentiation. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Mathematics / Calculus

2019-2026

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185

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2022-2026

224

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2017-2026

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Last 10 Years Differentiation Questions

Showing 24 of 224 filtered questions.

1Differentiation

The derivative of \((\log x)^x\) with respect to \(\log x\) is

2Differentiation

If \(y=\operatorname{cosec}^{-1}\left[\frac{\sqrt{x}+1}{\sqrt{x}-1}\right]+\cos ^{-1}\left[\frac{\sqrt{x}-1}{\sqrt{x}+1}\right]\), then \(\frac{d y}{d x}=\)

3Differentiation

If \(e^{-y} \cdot y=x\), then \(\frac{d y}{d x}\) is

4Differentiation

If \(y = {\tan ^{ - 1}}\left\{ {{{a\cos x - b\sin x} \over {b\cos x + a\sin x}}} \right\}\), then \({{dy} \over {dx}}\)

5Differentiation

If y = 2 sin x + 3 cos x and y + A\(\mathrm{\frac{d^2y}{dx^2}}\) = B, then the values of A, B are respectively

6Differentiation

If \(x=a \cos \theta, y=b \sin \theta\), then \(\left[\frac{d^2 y}{d x^2}\right]_{\theta=\frac{\pi}{4}}=\)

7Differentiation

If \(h(x)=\sqrt{4 f(x)+3 g(x)}, f(1)=4, g(1)=3, f^{\prime}(1)=3, g^{\prime}(1)=4\), then \(h^{\prime}(1)=\)

8Differentiation

If \(y=\log \tan \left(\frac{x}{2}\right)+\sin ^{-1}(\cos x)\), then \(\frac{d y}{d x}=\)

9Differentiation

If \(x=a(t+\sin t), y=a(1-\cos t)\), then \(\frac{d y}{d x}=\)

10Differentiation

If \(y=\sin ^{-1}\left[\cos \sqrt{\frac{1+x}{2}}\right]+x^x\), then \(\frac{d y}{d x}\) at \(x=1\) is

11Differentiation

\(y=\sqrt{e^{\sqrt{x}}}\), then \(\frac{d y}{d x}=\)

12Differentiation

If $x^2 y^2=\sin ^{-1} \sqrt{x^2+y^2}+\cos ^{-1} \sqrt{x^2+y^2}$ then $\frac{d y}{d x}=$

13Differentiation

If $y=\sin ^{-1}\left[\frac{\sqrt{1+x}+\sqrt{1-x}}{2}\right]$, then $\frac{d y}{d x}=$

14Differentiation

If $x=a \sin t-b \cos t, y=a \cos t+b \sin t$, then $y^3 \frac{d^2 y}{d x^2}+x^2+y^2=$

15Differentiation

If \(f(x)=\log (\sec x+\tan x)\), then \(f^{\prime}\left(\frac{\pi}{4}\right)=\)

16Differentiation

If \(\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}}=4\), then \(\frac{d y}{d x}=\)

17Differentiation

If \(\frac{x}{\sqrt{1+x}}+\frac{y}{\sqrt{1+y}}=0, x \neq y\), then \((1+x)^2 \frac{d y}{d x}=\)

18Differentiation

If \(f(x)=\sin ^{-1}\left(\sqrt{\frac{1-x}{2}}\right)\), then \(f^{\prime}(x)=\)

19Differentiation

If $y=\tan ^{-1}\left(\frac{1-\cos 3 x}{\sin 3 x}\right)$, then $\frac{d y}{d x}=$ .......

20Differentiation

If $y=\log \left[\frac{x+\sqrt{x^2+25}}{\sqrt{x^2+25}-x}\right]$ then $\frac{d y}{d x}=\ldots \ldots$

21Differentiation

If $x=\sqrt{a^{\sin ^{-1} t}}, y=\sqrt{a^{\cos ^{-1} t}}$, then $\frac{d y}{d x}=\ldots .$.

22Differentiation

Derivative of $\log _{e^2}(\log x)$ with respect to $x$ is

23Differentiation

If $x^y=e^{x-y}$, then $\frac{d y}{d x}$ at $x=1$ is ...........

24Differentiation

If $x=\sin \theta, y=\sin ^3 \theta$ then $\frac{d^2 y}{d x^2}$ at $\theta=\frac{\pi}{2}$ is ............