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

The derivative of e^{-x}-x is -e^{-x}-1

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

The first derivative of e^{-x}-x is -e^{-x}-1

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

- e^{- x} - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

= - e^{- x} - 1

t an g e n t y = 3 - 2 x + 4 x^{3}, at x = - 1

\frac{d}{d x} (ln (x^{16}))

y^{^{'}} = x y + x + y + 1

\int_{0}^{1} 7 (x^{2} + 1) e^{- x} d x

\int \frac{x ^{3} - 8 x}{x ^{2}} d x

What is the derivative of e^{-x}-x ?
The derivative of e^{-x}-x is -e^{-x}-1
What is the first derivative of e^{-x}-x ?
The first derivative of e^{-x}-x is -e^{-x}-1