SOLUTION: Suppose f'(x)=-2x and g'(x)=x^2 and g(4)=-1/4. find the derivative of f(g(4)).

SOLUTION: Suppose f'(x)=-2x and g'(x)=x^2 and g(4)=-1/4. find the derivative of f(g(4)).

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Question 1026695: Suppose f'(x)=-2x and g'(x)=x^2 and g(4)=-1/4. find the derivative of f(g(4)).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
g'(x) = ==> for some constant c.
g(4) = -1/4 ==> ==> c = -259/12.
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Now f'(x) = -2x ==> for some constant k.
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