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} (- 3)

Simplify

= - 15 e^{- 3 x}

\int \frac{1}{4 e ^{- 5 x} + e ^{5 x}} d x

\int \frac{x}{y ^{2}} d y

\frac{s}{( s + 3 ) ^{2}}

x \frac{d y}{d x} + y = y^{2} ln (x)

\frac{87 x ^{3}}{25}

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}