Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

3 of 41 · show all

1. Q37 2023

   If $y = x^{\frac{1}{x}}$, then find $\frac{dy}{dx}$ at $x = 1$.

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2. Q39 2023

   If $y = (x + \sqrt{x^2 - 1})^2$, then show that $(x^2 - 1)\left(\frac{dy}{dx}\right)^2 = 4y^2$.

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3. Q41 2023

   If $\tan\left(\frac{x+y}{x-y}\right) = k$, then $\frac{dy}{dx}$ is equal to

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