What is the derivative of e^{1-3x} ?

The derivative of e^{1-3x} is -3e^{1-3x}

What is the first derivative of e^{1-3x} ?

The first derivative of e^{1-3x} is -3e^{1-3x}

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\frac{d}{d x} (e^{1 - 3 x})

- 3 e^{1 - 3 x}

Solution steps

\frac{d}{d x} (e^{1 - 3 x})

Apply the chain rule:

e^{1 - 3 x} \frac{d}{d x} (1 - 3 x)

= e^{1 - 3 x} \frac{d}{d x} (1 - 3 x)

\frac{d}{d x} (1 - 3 x) = - 3

= e^{1 - 3 x} (- 3)

Simplify

= - 3 e^{1 - 3 x}

\int_{1}^{2} \frac{e ^{x}}{x} d x

(7.2) (2.12)

x^{3}, 0, 1

\int \frac{3}{e ^{3 x}} d x

\int_{4}^{e^{3}} \frac{1}{x} d x

What is the derivative of e^{1-3x} ?
The derivative of e^{1-3x} is -3e^{1-3x}
What is the first derivative of e^{1-3x} ?
The first derivative of e^{1-3x} is -3e^{1-3x}