Determine the derivative of (f∘g)(x) where f(x)=−2x2+x+2 and g(x)=2x2+2x−2.
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Lesson Parent:
Problem:
Determine the derivative of (f∘g)(x) where f(x)=−2x2+x+2 and g(x)=2x2+2x−2.
Answer:
(f∘g)′(x)=f′(g(x))g′(x)=−32x3−48x2+20x+18
Determine the derivative of (f∘g)(x) where f(x)=−2x2+x+2 and g(x)=2x2+2x−2.
(f∘g)′(x)=f′(g(x))g′(x)=−32x3−48x2+20x+18