$$\text { Find the value of } ( f \circ g ) ^ { \prime } \text { at the given value of } x \text {. }$$
-Assume that f'(3) = 8 , g'(4) = -5, g(4) = 3, and y = f(x). What is y' at x = 4?
A) 8
B) -10
C) 24
D) -40

Question

Quizplus · Accepted Answer

The derivative of a composition of functions, (f ∘ g)'(x), is given by f'(g(x)) * g'(x). Here, f'(3) = 8, g'(4) = -5, and g(4) = 3. So, (f ∘ g)'(4) = f'(g(4)) * g'(4) = f'(3) * (-5) = 8 * (-5) = -40.

Find the value of (f∘g)′ at the given value of x. \text { Find the value of } ( f \circ g ) ^ { \prime } \text { at the given value of } x \text {. } Find the value of (f∘g)′ at the given value of x.

$\text { Find the value of } ( f \circ g ) ^ { \prime } \text { at the given value of } x \text {. }$