1.

Find the derivative of f(x) = x cos x.

Answer»

Given, 

f(x) = x cos x

\(f(x)=\frac{d}{dx}(xcosx)\)

\(=cosx\frac{d}{dx}x +x\frac{d}{dx}cosx\)

= cos x∙ 1 + x ∙(− sin x)

= cos x − x sin x



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