Let for . Which of the following is…

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

Problem

Let f(x)=(x2+1)2x3f(x)=\dfrac{(x^{2}+1)^{2}}{x^{3}} for x≠0x\neq 0. Which of the following is f′(x)f'(x)? (a) 1−2x2+3x41-\dfrac{2}{x^{2}}+\dfrac{3}{x^{4}} (b) 1−2x2−3x41-\dfrac{2}{x^{2}}-\dfrac{3}{x^{4}} (c) 1−2x21-\dfrac{2}{x^{2}} (d) 1+2x2−3x41+\dfrac{2}{x^{2}}-\dfrac{3}{x^{4}}

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