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

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

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

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

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

e^{x^{3} + 5} \cdot 3 x^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{3} + 5} \cdot 3 x^{2}

\int x^{- 4} d x

\frac{x ^{2} + 1}{x ^{3} - 1}

x^{2} y^{^{''}} - x y^{^{'}} + y = 2 x

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

\int_{3}^{7} x x - 3 d x

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