What is the derivative of-4e^{12x} ?

The derivative of-4e^{12x} is -48e^{12x}

What is the first derivative of-4e^{12x} ?

The first derivative of-4e^{12x} is -48e^{12x}

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\frac{d}{d x} (- 4 e^{12 x})

- 48 e^{12 x}

Solution steps

\frac{d}{d x} (- 4 e^{12 x})

Take the constant out:

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

= - 4 \frac{d}{d x} (e^{12 x})

Apply the chain rule:

e^{12 x} \frac{d}{d x} (12 x)

= e^{12 x} \frac{d}{d x} (12 x)

\frac{d}{d x} (12 x) = 12

= - 4 e^{12 x} \cdot 12

Simplify

= - 48 e^{12 x}

What is the derivative of-4e^{12x} ?
The derivative of-4e^{12x} is -48e^{12x}
What is the first derivative of-4e^{12x} ?
The first derivative of-4e^{12x} is -48e^{12x}