Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

5 of 41 · show all

1. Q26 2024

   The derivative of $\sin(x^2)$ w.r.t. $x$, at $x = \sqrt{\pi}$ is…

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2. Q29 2024

   The derivative of $2^x$ w.r.t. $3^x$ is…

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3. Q30 2024

   If $x\cos(p+y)+\cos p\sin(p+y)=0$, prove that $\cos p\,\frac{dy}{dx} = -\cos^2(p+y)$, where p is a constant.

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4. Q32 2024

   The derivative of $\tan^{-1}(x^2)$ w.r.t. $x$ is…

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5. Q33 2024

   If $f(x) = |\tan 2x|$, then find the value of $f'(x)$ at $x = \dfrac{\pi}{3}$.

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