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

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