What is the derivative of e^{2-5x} ?

The derivative of e^{2-5x} is -5e^{2-5x}

What is the first derivative of e^{2-5x} ?

The first derivative of e^{2-5x} is -5e^{2-5x}

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derivative of

e^{2 - 5 x}

- 5 e^{2 - 5 x}

Solution steps

\frac{d}{d x} (e^{2 - 5 x})

Apply the chain rule:

e^{2 - 5 x} \frac{d}{d x} (2 - 5 x)

= e^{2 - 5 x} \frac{d}{d x} (2 - 5 x)

\frac{d}{d x} (2 - 5 x) = - 5

= e^{2 - 5 x} (- 5)

Simplify

= - 5 e^{2 - 5 x}

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What is the derivative of e^{2-5x} ?
The derivative of e^{2-5x} is -5e^{2-5x}
What is the first derivative of e^{2-5x} ?
The first derivative of e^{2-5x} is -5e^{2-5x}