What is the derivative of-x^3+5x^2-8x ?

The derivative of-x^3+5x^2-8x is -3x^2+10x-8

What is the first derivative of-x^3+5x^2-8x ?

The first derivative of-x^3+5x^2-8x is -3x^2+10x-8

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\frac{d}{d x} (- x^{3} + 5 x^{2} - 8 x)

- 3 x^{2} + 10 x - 8

Solution steps

\frac{d}{d x} (- x^{3} + 5 x^{2} - 8 x)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (8 x)

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

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (8 x) = 8

= - 3 x^{2} + 10 x - 8

What is the derivative of-x^3+5x^2-8x ?
The derivative of-x^3+5x^2-8x is -3x^2+10x-8
What is the first derivative of-x^3+5x^2-8x ?
The first derivative of-x^3+5x^2-8x is -3x^2+10x-8