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

The derivative of 4e^{4x} is 16e^{4x}

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

The first derivative of 4e^{4x} is 16e^{4x}

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derivative of

4 e^{4 x}

16 e^{4 x}

Solution steps

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

Take the constant out:

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

= 4 \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

= 4 e^{4 x} \cdot 4

Simplify

= 16 e^{4 x}

6 x + 5

\int_{0}^{\frac{π}{6}} cos (9 x) d x

\int \frac{cos ( \frac{π}{x ^{11}} )}{x ^{12}} d x

\int r^{3} 1 - r^{2} d r

\frac{d}{d x} (3 \frac{3 x}{6 x - 5})

What is the derivative of 4e^{4x} ?
The derivative of 4e^{4x} is 16e^{4x}
What is the first derivative of 4e^{4x} ?
The first derivative of 4e^{4x} is 16e^{4x}