What is the derivative of $f (x) = x^{4} \cdot e^{\sqrt{x}}$ $f(x)=x^4*e^sqrt(x)$ ?

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What is the derivative of $f (x) = x^{4} \cdot e^{\sqrt{x}}$ $f(x)=x^4*e^sqrt(x)$ ?

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Answer 1 · 2014-08-27T17:33:09

By using Product Rule and Chain Rule, you will find $y' = \frac{1}{2} (8 + \sqrt{x}) x^{3} e^{\sqrt{x}}$ $y'=frac{1}{2}(8+sqrt{x})x^3e^{sqrt{x}}$ .
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What is the derivative of $f (x) = x^{4} \cdot e^{\sqrt{x}}$ $f(x)=x^4*e^sqrt(x)$ ?

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What is the derivative of $f (x) = x^{4} \cdot e^{\sqrt{x}}$ $f(x)=x^4*e^sqrt(x)$ ?