What is the derivative of 100e^{-2x} ?

The derivative of 100e^{-2x} is -200e^{-2x}

What is the first derivative of 100e^{-2x} ?

The first derivative of 100e^{-2x} is -200e^{-2x}

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\frac{d}{d x} (100 e^{- 2 x})

- 200 e^{- 2 x}

Solution steps

\frac{d}{d x} (100 e^{- 2 x})

Take the constant out:

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

= 100 \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

= 100 e^{- 2 x} (- 2)

Simplify

= - 200 e^{- 2 x}

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

\frac{d y}{d x} = 0.276 y - 0.0012 y^{2}

\int \frac{x}{x ^{8} - 1} d x

f (x) = ln (x^{2} + 2)

y^{^{''}} + 9 y^{^{'}} + 18 y = 2050 e^{2 t} cos (10 t)

What is the derivative of 100e^{-2x} ?
The derivative of 100e^{-2x} is -200e^{-2x}
What is the first derivative of 100e^{-2x} ?
The first derivative of 100e^{-2x} is -200e^{-2x}