CUET Mathematics 2026 21st May Shift 1 PYQs

If $y=\sqrt[5]{\log_e(5x^2)}$, then $\dfrac{dy}{dx}=$

(Take $\log_e x=\log x$)

The second order derivative of which of the following functions is $5^{\mathrm{x}}$ ?

If $y = \cos^{-1}\left(\frac{1-x^2}{1+x^2}\right), 0 < x < 1$, then $\frac{dy}{dx}$ is equal to