What is the derivative of Ae^{-3x} ?

The derivative of Ae^{-3x} is -3Ae^{-3x}

What is the first derivative of Ae^{-3x} ?

The first derivative of Ae^{-3x} is -3Ae^{-3x}

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\frac{d}{d x} (A e^{- 3 x})

- 3 A e^{- 3 x}

Solution steps

\frac{d}{d x} (A e^{- 3 x})

Take the constant out:

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

= A \frac{d}{d x} (e^{- 3 x})

Apply the chain rule:

e^{- 3 x} \frac{d}{d x} (- 3 x)

= e^{- 3 x} \frac{d}{d x} (- 3 x)

\frac{d}{d x} (- 3 x) = - 3

= A e^{- 3 x} (- 3)

Simplify

= - 3 A e^{- 3 x}

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

2 x^{2} + 3, (- 1, 2)

\frac{d}{d x} ((1 + cos^{2} (x))^{6})

\frac{d}{d t} (15 t^{2})

x^{8} - x^{\frac{1}{2}}

What is the derivative of Ae^{-3x} ?
The derivative of Ae^{-3x} is -3Ae^{-3x}
What is the first derivative of Ae^{-3x} ?
The first derivative of Ae^{-3x} is -3Ae^{-3x}