Let . Which of the following is…

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

Problem

Let f(x)=x2tan⁡xf(x)=x^{2}\tan x. Which of the following is f′(x)f'(x)? (a) 2xtan⁡x+x2sec⁡xtan⁡x2x\tan x+x^{2}\sec x\tan x (b) 2xtan⁡x+x2sec⁡2x2x\tan x+x^{2}\sec^{2}x (c) 2xtan⁡x+x2cot⁡2x2x\tan x+x^{2}\cot^{2}x (d) tan⁡x+x2sec⁡2x\tan x+x^{2}\sec^{2}x

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