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

The derivative of e^{-x}-e^{-2x} is -e^{-x}+2e^{-2x}

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

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

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

- e^{- x} + 2 e^{- 2 x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Simplify

= - e^{- x} + 2 e^{- 2 x}

x \to 0 lim ([x])

\int \frac{1}{x x ^{4} - 36} d x

x^{2} - x y - y^{2} = 1, (2, 1)

\int x^{2} + 2 x + 1 d x

\frac{d y}{d x} = (\frac{x y + 5 x - y - 5}{x y - 2 x + 6 y - 12})

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