What is the derivative of (e^x^3) ?

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

What is the first derivative of (e^x^3) ?

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

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

e^{3 x} \cdot 3

Solution steps

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

Simplify

(e^{x})^{3} : e^{3 x}

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

Apply the chain rule:

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

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

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

= e^{3 x} \cdot 3

\frac{d}{d x} ((x - 1)^{2} sin (\frac{1}{x - 1}))

\frac{x ^{2} + 2 x - 6}{( x + 1 ) ^{2}}

\frac{4}{x}

3 + \frac{1}{4} sin (3 π t)

\frac{\partial}{\partial y} (y sin (x y))

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