What is the derivative of-3e^{-2x} ?

The derivative of-3e^{-2x} is 6e^{-2x}

What is the first derivative of-3e^{-2x} ?

The first derivative of-3e^{-2x} is 6e^{-2x}

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\frac{d}{d x} (- 3 e^{- 2 x})

6 e^{- 2 x}

Solution steps

\frac{d}{d x} (- 3 e^{- 2 x})

Take the constant out:

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

= - 3 \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

= - 3 e^{- 2 x} (- 2)

Simplify

= 6 e^{- 2 x}

\int_{0}^{4} \frac{6 t}{( t - 5 ) ^{2}} d t

\int (- 2 x^{5} - 5 x^{3} + 3 x^{2} + 1 - 4 e^{x}) d x

\frac{d y}{d x} + (\frac{4}{76 + 3 x}) y = 4.2

\frac{d}{d x} (7 x - 2)

What is the derivative of-3e^{-2x} ?
The derivative of-3e^{-2x} is 6e^{-2x}
What is the first derivative of-3e^{-2x} ?
The first derivative of-3e^{-2x} is 6e^{-2x}