What is the derivative of-10e^{-2x} ?

The derivative of-10e^{-2x} is 20e^{-2x}

What is the first derivative of-10e^{-2x} ?

The first derivative of-10e^{-2x} is 20e^{-2x}

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\frac{d}{d x} (- 10 e^{- 2 x})

20 e^{- 2 x}

Solution steps

\frac{d}{d x} (- 10 e^{- 2 x})

Take the constant out:

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

= - 10 \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

= - 10 e^{- 2 x} (- 2)

Simplify

= 20 e^{- 2 x}

y = \frac{6 x}{7 - tan ( x )}

\int \frac{1}{1 + 2 y} d y

\int \frac{1}{x 3 - x ^{2}} d x

d y = x^{2} d x, y (0) = 0

\int \frac{x}{1 - x ^{3}} d x

What is the derivative of-10e^{-2x} ?
The derivative of-10e^{-2x} is 20e^{-2x}
What is the first derivative of-10e^{-2x} ?
The first derivative of-10e^{-2x} is 20e^{-2x}