Let f(x)= cases x^ 2 -4, & x<1 3x-5, & x 1

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

Problem

Let f(x)={x2−4,x<13x−5,x≥1.f(x)=\begin{cases}x^{2}-4, & x<1\\ 3x-5, & x\ge 1.\end{cases} What is the value of f′(0)f'(0)? (a) The derivative does not exist at x=0x=0 (b) 00 (c) 33 (d) −4-4

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