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How do you find the derivative of #f(x)= e^x((x^3)-1)#?

Answer 1

Evelyn Agard

f'(x)= #e^x (x^3 -1) + 3x^2 e^x#

Apply product rule for derivatives, f'(x)= #e^x (x^3 -1) + 3x^2 e^x#

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Answer 2

Aurora Alvarado

To find the derivative of ( f(x) = e^x(x^3 - 1) ), apply the product rule. The derivative is ( f'(x) = e^x(x^3 - 1) + e^x(3x^2) ). Simplify to get ( f'(x) = e^x(x^3 + 3x^2 - 1) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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