What is the derivative of ae^{2x} ?

The derivative of ae^{2x} is ae^{2x}*2

What is the first derivative of ae^{2x} ?

The first derivative of ae^{2x} is ae^{2x}*2

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

a e^{2 x} \cdot 2

Solution steps

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

Take the constant out:

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

= a \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

= a e^{2 x} \cdot 2

What is the derivative of ae^{2x} ?
The derivative of ae^{2x} is ae^{2x}*2
What is the first derivative of ae^{2x} ?
The first derivative of ae^{2x} is ae^{2x}*2