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Question: If f(x) = \(\left\{ \begin{matrix} x + 1; & x > 1 \\ 0; & x = 1 \\ 7–3x; & x < 1 \end{matrix} \right...

If f(x) = {x+1;x>10;x=17–3x;x<1 \left\{ \begin{matrix} x + 1; & x > 1 \\ 0; & x = 1 \\ 7–3x; & x < 1 \end{matrix} \right.\ then f ¢(0) equals to

A

–1

B

– 2

C

– 3

D

– 4

Answer

– 3

Explanation

Solution

As for x < 1, f (x) = 7 – 3x Ž f¢(x) = – 3 Ž f'(0) = – 3