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}

\int (3^{4} + x^{15}) d x

\int x^{2} a^{2} - x^{2} d x

f (x) = x^{3} - x

y^{^{''}} + 4 y^{^{'}} + 4 y = 64 cos (2 x)

\int (y - 2) d y

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}