What is the derivative of y=9+5x^2-2x^3 ?

The derivative of y=9+5x^2-2x^3 is -6x^2+10x

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

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

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derivative of

y = 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

2 y^{^{'}} + 4 y = 2 t e^{- 2 t}

\int \frac{3 - x}{3 + x} d x

\int \frac{ln ∣ x ∣}{x} d x

\int \frac{3}{x 9 - ( ln ( x ) ) ^{2}} d x

f (x) = x^{2} - 10 x + 2, at x = 0

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