SOLUTION: X | f(x) | g(x) | df/dx | dg/dx ___________ ___________ _____ -2 | 3 | 1 | -5 | 8 -1 | -9 | 7 | 4 | 1 0 | 5 | 9

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Question 1027265: X | f(x) | g(x) | df/dx | dg/dx
_____________________________
-2 | 3 | 1 | -5 | 8
-1 | -9 | 7 | 4 | 1
0 | 5 | 9 | 9 | -3
1 | 3 | -1 | 2 | 6
2 | -5 | 3 | 8 | 0
Using the table of data:
a) Let j(x) = f(x) g(x) sinx. What is dj/dx when x =0?
b) Let h(x) = [f(x) + x^2]^3. What is dh/dx when x=1?
c) Let k(x) = (ln(x+2))/g(x). What is dk/dx when x = -1?
Provide a graph for each f(x) and g(x).

Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website!
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==> j'(x) = f'(x)g(x)sinx + f(x)g'(x)sinx + f(x)g(x)cosx ==> j'(0) = f'(0)g(0)sin0 + f(0)g'(0)sin0 + f(0)g(0)cos0 = 0 + 0 + 5*9*1 = 45.

==> k'(x) = ==> k'(-1) =

SOLUTION: X | f(x) | g(x) | df/dx | dg/dx ___________ ___________ _____ -2 | 3 | 1 | -5 | 8 -1 | -9 | 7 | 4 | 1 0 | 5 | 9 | 9 |

SOLUTION: X | f(x) | g(x) | df/dx | dg/dx _____ _ _ -2 | 3 | 1 | -5 | 8 -1 | -9 | 7 | 4 | 1 0 | 5 | 9 | 9 |