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

The derivative of-5e^{-5x} is 25e^{-5x}

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

The first derivative of-5e^{-5x} is 25e^{-5x}

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

25 e^{- 5 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= 25 e^{- 5 x}

f (x) = \frac{1}{x ^{6}}, (1, 1)

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{5}{2 x})

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

x, x^{2.42}, [0.99, 1]

\frac{d}{d x} (\frac{2 x}{x + 8})

What is the derivative of-5e^{-5x} ?
The derivative of-5e^{-5x} is 25e^{-5x}
What is the first derivative of-5e^{-5x} ?
The first derivative of-5e^{-5x} is 25e^{-5x}