What is the derivative of e^{3x^4} ?

The derivative of e^{3x^4} is e^{3x^4}*12x^3

What is the first derivative of e^{3x^4} ?

The first derivative of e^{3x^4} is e^{3x^4}*12x^3

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derivative of

e^{3 x^{4}}

e^{3 x^{4}} \cdot 12 x^{3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

= e^{3 x^{4}} \cdot 12 x^{3}

What is the derivative of e^{3x^4} ?
The derivative of e^{3x^4} is e^{3x^4}*12x^3
What is the first derivative of e^{3x^4} ?
The first derivative of e^{3x^4} is e^{3x^4}*12x^3