Consider the function f(x)= cases 4-x^ 2 , & -2 x 2

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the function

f(x)= \begin{cases} \sqrt{4-x^{2}}, & -2\le x\le 2,\\ x-1, & x>2. \end{cases}

Let

S

be the set of all real numbers in the domain of

f

at which

f'(x)=0

. How many elements does

S

contain? (a)

2

(b)

1

(c)

3

(d)

0