Morgen P.
asked • 05/12/23This is really confusing
Given that
f(x)=(x^6)ℎ(x)
ℎ(-1)=2
ℎ′(-1)=5
Calculate f ′(-1). Hint: Use the product rule and the power rule.
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2 Answers By Expert Tutors
See the video.
AJ L. answered • 05/12/23
Tutor
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Patient and knowledgeable Calculus Tutor committed to student mastery
f(x) = x6h(x)
f'(x) = 6x5h(x) + x6h'(x) <-- Recall Product Rule is d/dx f(x)g(x) = f'(x)g(x) + f(x)g'(x)
f'(-1) = 6(-1)5h(-1) + (-1)6h'(-1) = -6(2) + 5 = -12 + 5 = -7
Therefore, f'(-1) = -7
Hope this helped!
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Mark M.
Did you try the producet and power rules?05/12/23