What is the derivative of f(x)=9+5x^2-2x^3 ?

The derivative of f(x)=9+5x^2-2x^3 is -6x^2+10x

What is the first derivative of f(x)=9+5x^2-2x^3 ?

The first derivative of f(x)=9+5x^2-2x^3 is -6x^2+10x

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derivative of

f (x) = 9 + 5 x^{2} - 2 x^{3}

- 6 x^{2} + 10 x

Solution steps

\frac{d}{d x} (9 + 5 x^{2} - 2 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (9) = 0

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= 0 + 10 x - 6 x^{2}

Simplify

= - 6 x^{2} + 10 x

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What is the derivative of f(x)=9+5x^2-2x^3 ?
The derivative of f(x)=9+5x^2-2x^3 is -6x^2+10x
What is the first derivative of f(x)=9+5x^2-2x^3 ?
The first derivative of f(x)=9+5x^2-2x^3 is -6x^2+10x