Question

Let h(x)=f(g(x)) and p(x)=g(f(x)). Use the table below to compute the following derivatives. a. h′(3) b. p′(1) x 1 2 3 4 f(x) 3 4 2 1 f′(x) −5 −2 −9 −6 g(x) 1 2 3 4 g′(x) 1 9 2 9 7 9 4 9 . .

Name: let hxfgx and pxgfx use the table below to compute the following derivatives a h3 b p1 x 1 2 3 4 fx 3 4 2 1 fx 5 2 9 6 gx 1 2 3 4 gx 1 9 2 9 7 9 4 9
Uploaded: 2023-05-10T23:09:39-08:00
Duration: 1 min 38 s
Channel: Vincenzo Zaccaro
Description: let hxfgx and pxgfx use the table below to compute the following derivatives a h3 b p1 x 1 2 3 4 fx 3 4 2 1 fx 5 2 9 6 gx 1 2 3 4 gx 1 9 2 9 7 9 4 9

          Let h(x)=f(g(x)) and p(x)=g(f(x)). Use the table below to compute the following derivatives.
a. h′(3)
b. p′(1)
x
1
2
3
4
f(x)
3
4
2
1
f′(x)
−5
−2
−9
−6
g(x)
1
2
3
4
g′(x)
1
9
2
9
7
9
4
9
.
.

Added by Les V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

05/10/2023

Step 1

h'(3) We know that h(x) = f(g(x)), so h'(x) = f'(g(x)) * g'(x). Now, we need to find h'(3) = f'(g(3)) * g'(3). From the table, we can see that g(3) = 3 and g'(3) = 2/9. Now, we need to find f'(g(3)) = f'(3). From the table, f'(3) = -9. So, h'(3) = f'(g(3)) * Show more…

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Let h(x)=f(g(x)) and p(x)=g(f(x)). Use the table below to compute the following derivatives. a. h′(3) b. p′(1) x 1 2 3 4 f(x) 3 4 2 1 f′(x) −5 −2 −9 −6 g(x) 1 2 3 4 g′(x) 1 9 2 9 7 9 4 9 . .