Which of the following is equal to ?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which of the following is equal to ddx(xx)\dfrac{d}{dx}\bigl(x^x\bigr)? (a) xxln⁡xx^x\ln x (b) xx−1x^{x-1} (c) xx(ln⁡x+1)x^x(\ln x+1) (d) xx(ln⁡x+1x)x^x\left(\ln x+\dfrac{1}{x}\right)

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