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

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

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

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

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

- 5 e^{3 - 5 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 5 e^{3 - 5 x}

\frac{d}{d x} (\frac{1}{x ^{15}})

\int \frac{4 x}{4 x ^{2} + 3 y ^{2}} d x

\frac{d}{d x} (arccos (7 x))

y = 1.8 e^{2 x} - 41

\frac{\partial}{\partial x} (x e^{y} - x^{5} + y - 3)

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