What is the derivative of 3e^{-6x} ?

The derivative of 3e^{-6x} is -18e^{-6x}

What is the first derivative of 3e^{-6x} ?

The first derivative of 3e^{-6x} is -18e^{-6x}

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\frac{d}{d x} (3 e^{- 6 x})

- 18 e^{- 6 x}

Solution steps

\frac{d}{d x} (3 e^{- 6 x})

Take the constant out:

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

= 3 \frac{d}{d x} (e^{- 6 x})

Apply the chain rule:

e^{- 6 x} \frac{d}{d x} (- 6 x)

= e^{- 6 x} \frac{d}{d x} (- 6 x)

\frac{d}{d x} (- 6 x) = - 6

= 3 e^{- 6 x} (- 6)

Simplify

= - 18 e^{- 6 x}

What is the derivative of 3e^{-6x} ?
The derivative of 3e^{-6x} is -18e^{-6x}
What is the first derivative of 3e^{-6x} ?
The first derivative of 3e^{-6x} is -18e^{-6x}