What is the derivative of f(x)=e^{x^4} ?

The derivative of f(x)=e^{x^4} is e^{x^4}*4x^3

What is the first derivative of f(x)=e^{x^4} ?

The first derivative of f(x)=e^{x^4} is e^{x^4}*4x^3

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derivative of

f (x) = e^{x^{4}}

e^{x^{4}} \cdot 4 x^{3}

Solution steps

\frac{d}{d x} (e^{x^{4}})

Apply the chain rule:

e^{x^{4}} \frac{d}{d x} (x^{4})

= e^{x^{4}} \frac{d}{d x} (x^{4})

\frac{d}{d x} (x^{4}) = 4 x^{3}

= e^{x^{4}} \cdot 4 x^{3}

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What is the derivative of f(x)=e^{x^4} ?
The derivative of f(x)=e^{x^4} is e^{x^4}*4x^3
What is the first derivative of f(x)=e^{x^4} ?
The first derivative of f(x)=e^{x^4} is e^{x^4}*4x^3