What is the derivative of f(x)=e^{6x} ?

The derivative of f(x)=e^{6x} is e^{6x}*6

What is the first derivative of f(x)=e^{6x} ?

The first derivative of f(x)=e^{6x} is e^{6x}*6

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derivative of

f (x) = e^{6 x}

e^{6 x} \cdot 6

Solution steps

\frac{d}{d x} (e^{6 x})

Apply the chain rule:

e^{6 x} \frac{d}{d x} (6 x)

= e^{6 x} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= e^{6 x} \cdot 6

What is the derivative of f(x)=e^{6x} ?
The derivative of f(x)=e^{6x} is e^{6x}*6
What is the first derivative of f(x)=e^{6x} ?
The first derivative of f(x)=e^{6x} is e^{6x}*6