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}

n = 0 \sum \infty \frac{2}{4 n ^{2} - 1}

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

y = 1 - x^{2} arcsin (x)

y^{^{'}} = (x^{2})

y^{^{'}} = \frac{( 5 x sec ( \frac{y}{x} ) + y )}{x}

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}