CUET Mathematics - The derivative of ( x)^x with respect to x is | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Calculus

Medium

applied

$x(\log x)^{x-1}[1 + \log x \cdot \log(\log x)]$

$x(\log x)^x[x + 1 + \log x \cdot \log(\log x)]$

$x(\log x)^{x-1}[1 + \log x \cdot \log(\log x)]$

$(\log x)^{x-1}[1 + \log x \cdot \log(\log x)]$

✅ Correct Option: 3

Related questions:

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If $y = e^{\frac{1}{2}\log(1+ \tan^2 x)}$ , then $\frac{d^2y}{dx^2}$ is equal to:

14 May Shift 1

If the function

$f(x) = \begin{cases} k\cos x & , x \neq \frac{\pi}{2} \\ \pi - 2x & , x = \frac{\pi}{2} \\ 3 & , x = \frac{\pi}{2} \end{cases}$

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Match List-I with List-II

Choose the correct answer from the options given below:

CUET Mathematics 2025 22 May Shift 1 PYQs