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

The derivative of 2ae^{2x} is 4ae^{2x}

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

The first derivative of 2ae^{2x} is 4ae^{2x}

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

4 a e^{2 x}

Solution steps

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

Take the constant out:

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

= 2 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

= 2 a e^{2 x} \cdot 2

Simplify

= 4 a e^{2 x}

What is the derivative of 2ae^{2x} ?
The derivative of 2ae^{2x} is 4ae^{2x}
What is the first derivative of 2ae^{2x} ?
The first derivative of 2ae^{2x} is 4ae^{2x}