What is the derivative of e^2(2x+4) ?

The derivative of e^2(2x+4) is 2e^2

What is the first derivative of e^2(2x+4) ?

The first derivative of e^2(2x+4) is 2e^2

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\frac{d}{d x} (e^{2} (2 x + 4))

2 e^{2}

Solution steps

\frac{d}{d x} (e^{2} (2 x + 4))

Take the constant out:

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

= e^{2} \frac{d}{d x} (2 x + 4)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= e^{2} (\frac{d}{d x} (2 x) + \frac{d}{d x} (4))

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

\frac{d}{d x} (4) = 0

= e^{2} (2 + 0)

Simplify

= 2 e^{2}

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What is the derivative of e^2(2x+4) ?
The derivative of e^2(2x+4) is 2e^2
What is the first derivative of e^2(2x+4) ?
The first derivative of e^2(2x+4) is 2e^2