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

The derivative of-3(e^x^3) is -9e^{3x}

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

The first derivative of-3(e^x^3) is -9e^{3x}

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

- 9 e^{3 x}

Solution steps

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

Simplify

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

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 3 \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

= - 3 e^{3 x} \cdot 3

Simplify

= - 9 e^{3 x}

\int x^{2} - \frac{1}{x} d x

ln (2) x^{5}

\int x^{5} 11 + x^{6} d x

\int \frac{u}{1 + u ^{2}} d u

x \to l n (2) lim (e^{2 x})

What is the derivative of-3(e^x^3) ?
The derivative of-3(e^x^3) is -9e^{3x}
What is the first derivative of-3(e^x^3) ?
The first derivative of-3(e^x^3) is -9e^{3x}