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

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

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

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

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

5 e^{- x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x) = - 1

= - 5 e^{- x} (- 1)

Simplify

= 5 e^{- x}

\int \frac{1}{8 x + 1} d x

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

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

\int x y d x

s l o p e (7, - 7), (5, - 3)

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