What is the derivative of 8e^{8x} ?

The derivative of 8e^{8x} is 64e^{8x}

What is the first derivative of 8e^{8x} ?

The first derivative of 8e^{8x} is 64e^{8x}

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\frac{d}{d x} (8 e^{8 x})

64 e^{8 x}

Solution steps

\frac{d}{d x} (8 e^{8 x})

Take the constant out:

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

= 8 \frac{d}{d x} (e^{8 x})

Apply the chain rule:

e^{8 x} \frac{d}{d x} (8 x)

= e^{8 x} \frac{d}{d x} (8 x)

\frac{d}{d x} (8 x) = 8

= 8 e^{8 x} \cdot 8

Simplify

= 64 e^{8 x}

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What is the derivative of 8e^{8x} ?
The derivative of 8e^{8x} is 64e^{8x}
What is the first derivative of 8e^{8x} ?
The first derivative of 8e^{8x} is 64e^{8x}