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}

\frac{\partial}{\partial x} (x (1 - x^{2} - y^{2}))

f (x) = 3^{2 x^{2} + 3 x - 1}

\frac{d}{d x} (2 x^{2} - x + 1)

f (x) = x^{2} - x + 7, at x = 2

x y - 5 y^{2} = 4 (12.2)

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}