What is the derivative of e^{x^3+5x} ?

The derivative of e^{x^3+5x} is e^{x^3+5x}(3x^2+5)

What is the first derivative of e^{x^3+5x} ?

The first derivative of e^{x^3+5x} is e^{x^3+5x}(3x^2+5)

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\frac{d}{d x} (e^{x^{3} + 5 x})

e^{x^{3} + 5 x} (3 x^{2} + 5)

Solution steps

\frac{d}{d x} (e^{x^{3} + 5 x})

Apply the chain rule:

e^{x^{3} + 5 x} \frac{d}{d x} (x^{3} + 5 x)

= e^{x^{3} + 5 x} \frac{d}{d x} (x^{3} + 5 x)

\frac{d}{d x} (x^{3} + 5 x) = 3 x^{2} + 5

= e^{x^{3} + 5 x} (3 x^{2} + 5)

What is the derivative of e^{x^3+5x} ?
The derivative of e^{x^3+5x} is e^{x^3+5x}(3x^2+5)
What is the first derivative of e^{x^3+5x} ?
The first derivative of e^{x^3+5x} is e^{x^3+5x}(3x^2+5)