What is the derivative of-5e^{4x} ?

The derivative of-5e^{4x} is -20e^{4x}

What is the first derivative of-5e^{4x} ?

The first derivative of-5e^{4x} is -20e^{4x}

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\frac{d}{d x} (- 5 e^{4 x})

- 20 e^{4 x}

Solution steps

\frac{d}{d x} (- 5 e^{4 x})

Take the constant out:

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

= - 5 \frac{d}{d x} (e^{4 x})

Apply the chain rule:

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

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

\frac{d}{d x} (4 x) = 4

= - 5 e^{4 x} \cdot 4

Simplify

= - 20 e^{4 x}

in v erse l a pl a ce \frac{3}{s ( s ^{2} + 2 s + 5 )}

d er i v a t i v e 5 (x^{3} - x)^{4}

\int x (2 sec^{2} (x) + tan^{2} (x)) d x

\frac{d}{d y} (4 - y^{2})

\int_{- 7}^{0} (4 + 49 - x^{2}) d x

What is the derivative of-5e^{4x} ?
The derivative of-5e^{4x} is -20e^{4x}
What is the first derivative of-5e^{4x} ?
The first derivative of-5e^{4x} is -20e^{4x}