What is the derivative of e^{5-3x} ?

The derivative of e^{5-3x} is -3e^{5-3x}

What is the first derivative of e^{5-3x} ?

The first derivative of e^{5-3x} is -3e^{5-3x}

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\frac{d}{d x} (e^{5 - 3 x})

- 3 e^{5 - 3 x}

Solution steps

\frac{d}{d x} (e^{5 - 3 x})

Apply the chain rule:

e^{5 - 3 x} \frac{d}{d x} (5 - 3 x)

= e^{5 - 3 x} \frac{d}{d x} (5 - 3 x)

\frac{d}{d x} (5 - 3 x) = - 3

= e^{5 - 3 x} (- 3)

Simplify

= - 3 e^{5 - 3 x}

What is the derivative of e^{5-3x} ?
The derivative of e^{5-3x} is -3e^{5-3x}
What is the first derivative of e^{5-3x} ?
The first derivative of e^{5-3x} is -3e^{5-3x}