Question
Asked Oct 13, 2019
If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f to estimate the value of each derivative.
b. g' (2)2.1
a. h' (2)
y= f(x)
0
1
х
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If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f to estimate the value of each derivative. b. g' (2)2.1 a. h' (2) y= f(x) 0 1 х

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Step 1

Step 2

(x)(x)()
(2) f(f(2)(2)
)f'(
=f'(1)f(2)
=(-1) (-1)
=1
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(x)(x)() (2) f(f(2)(2) )f'( =f'(1)f(2) =(-1) (-1) =1

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Step 3

...
g' (x)-f(x))
dx
g'(x)(x(2x)
g'(2)= (2)(2(2))
=4f(4)
4(1.5)
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g' (x)-f(x)) dx g'(x)(x(2x) g'(2)= (2)(2(2)) =4f(4) 4(1.5)

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Tagged in

Math

Calculus

Derivative