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

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

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

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

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

- e^{- x} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - e^{- x} - 2 x

\int_{0}^{0.6} 400 x d x

\int \frac{x ^{2} + x - 3}{3 x ^{3} - 2 x ^{2} + 6 x - 4} d x

e^{- 5 s}

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

\frac{d y}{d x} = 3 y - 5

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