What is the derivative of ae^{-x} ?

The derivative of ae^{-x} is -ae^{-x}

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

The first derivative of ae^{-x} is -ae^{-x}

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

- a e^{- x}

Solution steps

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

Take the constant out:

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

= a \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

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

Simplify

= - a e^{- x}

\frac{\partial}{\partial x} (e^{6 y} sin (- 6 x))

n = 1 \sum \infty 17 - \frac{7}{n ^{3}}

\int sinh (x) cosh^{4} (x) d x

y = 2 x^{2}, y = 3 - x

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