What is the derivative of-4e^{-x} ?

The derivative of-4e^{-x} is 4e^{-x}

What is the first derivative of-4e^{-x} ?

The first derivative of-4e^{-x} is 4e^{-x}

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\frac{d}{d x} (- 4 e^{- x})

4 e^{- x}

Solution steps

\frac{d}{d x} (- 4 e^{- x})

Take the constant out:

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

= - 4 \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

= - 4 e^{- x} (- 1)

Simplify

= 4 e^{- x}

\int_{1}^{2} \frac{10 ln ( x )}{x ^{2}} d x

f (x) = arctan (5 x)

\int_{1}^{2} (x^{2} - 3) d x

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

\frac{4 x - 7}{x ^{2} - 1}

What is the derivative of-4e^{-x} ?
The derivative of-4e^{-x} is 4e^{-x}
What is the first derivative of-4e^{-x} ?
The first derivative of-4e^{-x} is 4e^{-x}