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

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

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

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

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

3 e^{- 3 x}

Solution steps

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

Take the constant out:

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

= - \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

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

Simplify

= 3 e^{- 3 x}

e^{2 t}

\frac{s + 1}{0.1 s + 1}

\frac{d}{d x} (\frac{sin ( 4 x )}{x})

\int_{1}^{2} 12 x^{2} 2^{x^{3}} d x

y^{^{''}} + 26 y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

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