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

By using Product Rule and Chain Rule, you will find

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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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