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

The derivative of-5e^{3x} is -15e^{3x}

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

The first derivative of-5e^{3x} is -15e^{3x}

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

- 15 e^{3 x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= - 5 e^{3 x} \cdot 3

Simplify

= - 15 e^{3 x}

\int \frac{1 + x}{- 4 x - 2 x ^{2}} d x

\frac{d}{d x} (\frac{e ^{5 x}}{x ^{15}})

\frac{d}{d x} (b (x + a)^{3} + c)

\frac{\partial}{\partial x} (x y e^{\frac{x}{y}})

What is the derivative of-5e^{3x} ?
The derivative of-5e^{3x} is -15e^{3x}
What is the first derivative of-5e^{3x} ?
The first derivative of-5e^{3x} is -15e^{3x}