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What is the derivative of #f(x)=x^4*e^sqrt(x)# ?

Answer 1

By using Product Rule and Chain Rule, you will find #y'=frac{1}{2}(8+sqrt{x})x^3e^{sqrt{x}}#.
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Answer 2

Emilia Aguilar

The derivative of ( f(x) = x^4 \cdot e^{\sqrt{x}} ) is given by:

[ f'(x) = 4x^3 \cdot e^{\sqrt{x}} + \frac{x^4}{2\sqrt{x}} \cdot e^{\sqrt{x}} ]

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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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