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

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

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

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

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

- 3 x^{2} + 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (3) = 0

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

Simplify

= - 3 x^{2} + 2 x

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