What is the derivative of e^x-x^2+3x-2 ?

The derivative of e^x-x^2+3x-2 is -2x+e^x+3

What is the first derivative of e^x-x^2+3x-2 ?

The first derivative of e^x-x^2+3x-2 is -2x+e^x+3

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

- 2 x + e^{x} + 3

Solution steps

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

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

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

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (2) = 0

= e^{x} - 2 x + 3 - 0

Simplify

= - 2 x + e^{x} + 3

What is the derivative of e^x-x^2+3x-2 ?
The derivative of e^x-x^2+3x-2 is -2x+e^x+3
What is the first derivative of e^x-x^2+3x-2 ?
The first derivative of e^x-x^2+3x-2 is -2x+e^x+3