What is the derivative of-x^3+2x+7 ?

The derivative of-x^3+2x+7 is -3x^2+2

What is the first derivative of-x^3+2x+7 ?

The first derivative of-x^3+2x+7 is -3x^2+2

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\frac{d}{d x} (- x^{3} + 2 x + 7)

- 3 x^{2} + 2

Solution steps

\frac{d}{d x} (- x^{3} + 2 x + 7)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (7)

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

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

\frac{d}{d x} (7) = 0

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

Simplify

= - 3 x^{2} + 2

What is the derivative of-x^3+2x+7 ?
The derivative of-x^3+2x+7 is -3x^2+2
What is the first derivative of-x^3+2x+7 ?
The first derivative of-x^3+2x+7 is -3x^2+2