What is the derivative of Ae^{-2x} ?

The derivative of Ae^{-2x} is -2Ae^{-2x}

What is the first derivative of Ae^{-2x} ?

The first derivative of Ae^{-2x} is -2Ae^{-2x}

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\frac{d}{d x} (A e^{- 2 x})

- 2 A e^{- 2 x}

Solution steps

\frac{d}{d x} (A e^{- 2 x})

Take the constant out:

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

= A \frac{d}{d x} (e^{- 2 x})

Apply the chain rule:

e^{- 2 x} \frac{d}{d x} (- 2 x)

= e^{- 2 x} \frac{d}{d x} (- 2 x)

\frac{d}{d x} (- 2 x) = - 2

= A e^{- 2 x} (- 2)

Simplify

= - 2 A e^{- 2 x}

\int \frac{sec ^{2} ( x )}{2 tan ( x )} d x

x \to 6 lim (\frac{x ^{6}}{( x - 6 )})

\int \frac{1}{3 sin ( x ) - 4 cos ( x )} d x

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What is the derivative of Ae^{-2x} ?
The derivative of Ae^{-2x} is -2Ae^{-2x}
What is the first derivative of Ae^{-2x} ?
The first derivative of Ae^{-2x} is -2Ae^{-2x}