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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derivative of

- 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}

y = x^{4} - x^{2}, y = 1 - x^{2}

y^{^{''}} + y^{^{'}} - 6 y = 12 t + 10 e^{- 3 t}

\frac{d}{d θ} (θ cos (θ) - sin (θ))

\frac{d}{d x} (e^{x + 2 y})

\frac{d}{d x} (ln (\frac{( 2 x - 1 )}{x - 1}))

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}