DevynS12
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If h(x) = g[f(x)], use the table of values for f, g, f'and g' to find the value of h'(1).
x f(x) g(x) f'(x) g'(x)
1 3
2
2
6
2 1
00
5
7
3
7
2
7
9
your answer goes here

If hx gfx use the table of values for f g fand g to find the value of h1 x fx gx fx gx 1 3 2 2 6 2 1 00 5 7 3 7 2 7 9 your answer goes here class=

Respuesta :

Answer:

Hey there :)

h ( x ) = f [ g ( x ) ]

To find h ' ( x )  

We do → f ' [ g ( x ) ] × g ' ( x )  

This is called the chain rule

Given;

g ( 1 ) = 2  →  f ' ( 2 ) = 5

g ' ( 1 ) = 6

Apply the formula

h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )

          = f ' ( 2 ) × 6

          = 5 × 6

h ' ( 1 ) = 30

bamboorio35

Answer:

Was this correct?

Step-by-step explanation:

Since h(x) = g(f(x)), shouldn't we use the chain rule as g'(f(x)) * f'(x) instead of f'(g(x)) * g'(x)???

Depending on which one I use, I get completely different answers (either 30 or 18)....

Someone PLEASE help meeee!!!! I am very confused :(

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