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

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

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

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

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derivative of

y = 5 + 5 x^{2} - 2 x^{3}

- 6 x^{2} + 10 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5) = 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

\frac{d}{d x} (e^{x} (1 + x))

f (x) = 5 x + 6

\frac{d}{d x} ((3 x^{3} + 4) (x^{4} - 4 x))

y = \frac{1}{y ^{2}}

\frac{\partial}{\partial x} (r sin (θ))

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