Question

If h(x) = g[f(x)], use the table of values for f, g, f ′ and g ′ to find the value of h ′(1)

Answer 1

x f(x) g(x) f ′(x) g ′(x)
1 3 2 2 6
2 1 8 5 7
3 7 2 7 9

Answer 2

@LynFran @pooja195

Answer 3

First off, h'(x) =??

Answer 4

i have no idea

Answer 5

would the product rule apply?

Answer 6

do i just derive g and f?

Answer 7

it's chain rule, not product rule

Answer 8

okay so then it would be h'(x) = g'(f(x)) + g(f'(x))?

Answer 9

or is it h'(x) = g'(f(x)) * f'(x)

Answer 10

the last one.

Answer 11

now replace all
f'(1) =?

Answer 12

f(1) =??

Answer 13

h'(x)= 2?

Answer 14

correction h'(1) = 2

Answer 15

nope

Answer 16

damn okay what'd i do wrong
h'(x) = g"(3) * 2

Answer 17

only one prime on the g ^^

Answer 18

=??

Answer 19

18 damn okay i see what i did wrong

Answer 20

ok

Answer 21

thank you very much