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

The derivative of e^{x^4+3x} is e^{x^4+3x}(4x^3+3)

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

The first derivative of e^{x^4+3x} is e^{x^4+3x}(4x^3+3)

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derivative of

e^{x^{4} + 3 x}

e^{x^{4} + 3 x} (4 x^{3} + 3)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{4} + 3 x} (4 x^{3} + 3)

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