What is the derivative of y=e^{2x} ?

The derivative of y=e^{2x} is e^{2x}*2

What is the first derivative of y=e^{2x} ?

The first derivative of y=e^{2x} is e^{2x}*2

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derivative

e^{2 x} \cdot 2

Solution steps

\frac{d}{d x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{d}{d x} (2 x)

= e^{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= e^{2 x} \cdot 2

What is the derivative of y=e^{2x} ?
The derivative of y=e^{2x} is e^{2x}*2
What is the first derivative of y=e^{2x} ?
The first derivative of y=e^{2x} is e^{2x}*2