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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to 2 lim (\frac{∣ x - 2 ∣}{2})

10 (1.05)^{x}

\int_{0}^{π} cos (t) sin (t) d t

n = 0 \sum \infty \frac{x ^{n}}{n}

\frac{d}{d x} (3, x)

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