If for , then…

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

Problem

If f(x)=x2exln⁡xf(x)=x^{2}e^{x}\ln x for x>0x>0, then f′(x)f'(x) equals (a) ex[x2ln⁡x+2x+ln⁡x]e^{x}\bigl[x^{2}\ln x+2x+\ln x\bigr] (b) ex[2x2ln⁡x+x]e^{x}\bigl[2x^{2}\ln x+x\bigr] (c) ex[x2ln⁡x+2xln⁡x+x]e^{x}\bigl[x^{2}\ln x+2x\ln x+x\bigr] (d) ex[x2ln⁡x+2xln⁡x]e^{x}\bigl[x^{2}\ln x+2x\ln x\bigr]

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