The function f & g are differentiable everywhere except x=1 and x=4. The graph of g is given in the figure above and select the values of f & f’ are given in the table above. If h(x) = f(g(x)), find h’(3) 400g(x)3N21231-1 O44567xf(x)f'(x)-1362-4534-27019. The functions f and g are differentiable everywhere except at x = 1 and x = 4. The graph of g is given in thefigure above and selected values of f and f' are given in the table above. If h(x) = f(g(x)), find h' (3).(A) - 8(B) - 5(C) 5(D) 6

Answered: Image /qna-images/answer/8521cd90-f1bd-413e-8e5a-9820317078ac.jpg

4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g are differentiable everywhere except at x = 1 and x = 4. The graph of gi figure above and selected values of f and f' are given in the table above. If h(x) = f(g(x)), find (A) - 8 (B) - 5 (C) 5 (D) 6

4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g are differentiable everywhere except at x = 1 and x = 4. The graph of gi figure above and selected values of f and f' are given in the table above. If h(x) = f(g(x)), find (A) - 8 (B) - 5 (C) 5 (D) 6

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Question

The function f & g are differentiable everywhere except x=1 and x=4. The graph of g is given in the figure above and select the values of f & f’ are given in the table above. If h(x) = f(g(x)), find h’(3)

400
g(x)
3
N
2
1
2
3
1
-1 O
4
4
5
6
7
x
f(x)
f'(x)
-1
3
6
2
-4
5
3
4
-2
7
0
1
9. The functions f and g are differentiable everywhere except at x = 1 and x = 4. The graph of g is given in the
figure above and selected values of f and f' are given in the table above. If h(x) = f(g(x)), find h' (3).
(A) - 8
(B) - 5
(C) 5
(D) 6

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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