SOLUTION: If f and g are differentiable functions for all real values of x such that f(1) = 4, g(1) = 3, f '(3) = −5, f '(1) = −4, g '(1) = −3, g '(3) = 2, then find h '(1)

Algebra.Com
Question 1001206: If f and g are differentiable functions for all real values of x such that f(1) = 4, g(1) = 3, f '(3) = −5, f '(1) = −4, g '(1) = −3, g '(3) = 2, then find h '(1) if h(x) = f(x) g(x).
−9
−24
0
24
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
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If f and g are differentiable functions for all real values of x such that f(1) = 4, g(1) = 3, f '(3) = −5, f '(1) = −4, g '(1) = −3, g '(3) = 2, then find h '(1) if h(x) = f(x) g(x).
−9
−24
0
24
-------------------------------------------------------------------- 
h'(1) = f'(1)*g(1) + f(1)*g'(1) = (-4)*3 + 4*(-3) = -24.


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