What is the derivative of 4-e^{2x} ?

The derivative of 4-e^{2x} is -2e^{2x}

What is the first derivative of 4-e^{2x} ?

The first derivative of 4-e^{2x} is -2e^{2x}

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

- 2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - e^{2 x} \cdot 2

Simplify

= - 2 e^{2 x}

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