Use the given information to find f '(4). f(x) = 3g(x) + h(x) g(4) = 6 and g'(4) = 7 h(4) = 8 and h'(4) = -2

Question

Use the given information to find f '(4).

f(x) = 3g(x) + h(x)

g(4) = 6 and g'(4) = 7

h(4) = 8 and h'(4) = -2

f'(4)=

Answer 1

f(x) = 3g(x) + h(x)

g(4) = 6 and g'(4) = 7

h(4) = 8 and h'(4) = -2

f'(x) = 3g'(x) + h'(x)

f'(4) = 3g'(4) + h'(4) = 3(7) + (-2) = 21 - 2 = 19