Question

Find h'(2) given that f(2)=-1, f'(2)=4, g(2)=1 and g'(2)=-5

Answer 1

its upside down

Answer 2

For (a),
h(x) = 5f(x) + 2g(x)
Diff. both sides w.r.t. x
h'(x) = 5f'(x) + 2g'(x)
So,
h'(2) = 5f'(2) + 2g'(2)
Time to sub. values and get your answer. Got it?

Answer 3

@cunninnc

Answer 4

H(x) = 5 f'(x) + 2g'(x)

Answer 5

H'(2)= 5x4-2x5=10

Answer 6

H'(x) = f(x).g'(x) + f'(x).g(x)

Answer 7

H'(x)= 4x2+ -1x-5 = 13

Answer 8

h'(x) = 1/ f(x)

Answer 9

1/f(x) . F'(x)= 4/-2=-2