Let . Given that is differentiable at , determine the value of…

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

Problem

Let f(x)={sin⁡x,x≠0c,x=0f(x)=\begin{cases}\sin x,& x\neq 0\\ c,& x=0\end{cases}. Given that ff is differentiable at x=0x=0, determine the value of cc.

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