A function is defined by f(x)= cases x^ 2 +2x x , & x<0

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A function ff is defined by f(x)={x2+2xx,x<0,x2+1x2+5,x≥0.f(x)= \begin{cases} \dfrac{x^{2}+2x}{x}, & x<0,\\ \dfrac{x^{2}+1}{x^{2}+5}, & x\ge 0. \end{cases} Compute the exact values of f′(−2)f'(-2) and f′(1)f'(1).

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