CBSE

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

Problem

Find g′(x)g'(x) if g(x)=(x2sin⁡x) etan⁡xg(x)=\bigl(x^{2}\sin x\bigr)\,e^{\tan x}. (a) (2xsin⁡x+x2cos⁡x+x2sin⁡x) etan⁡x(2x\sin x + x^{2}\cos x + x^{2}\sin x)\,e^{\tan x} (b) (2xsin⁡x+x2cos⁡x)etan⁡x+x2sin⁡x etan⁡xsec⁡2x(2x\sin x + x^{2}\cos x)e^{\tan x} + x^{2}\sin x\,e^{\tan x}\sec^{2}x (c) (2xsin⁡x+x2cos⁡x)etan⁡x+x2sin⁡x etan⁡xsec⁡x(2x\sin x + x^{2}\cos x)e^{\tan x} + x^{2}\sin x\,e^{\tan x}\sec x (d) (2xsin⁡x+x2cos⁡x)etan⁡x−x2sin⁡x etan⁡xsec⁡2x(2x\sin x + x^{2}\cos x)e^{\tan x} - x^{2}\sin x\,e^{\tan x}\sec^{2}x

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