For the function

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For the function f(x)={sin⁡xx,x≠01,x=0f(x)=\begin{cases}\dfrac{\sin x}{x},&x\ne0\\1,&x=0\end{cases}, determine f′(0)f'(0). (a) 11 (b) Does not exist (c) 00 (d) −16-\dfrac{1}{6}

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