What is the derivative of 390x^2-3120x^3 ?

The derivative of 390x^2-3120x^3 is 780x-9360x^2

What is the first derivative of 390x^2-3120x^3 ?

The first derivative of 390x^2-3120x^3 is 780x-9360x^2

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\frac{d}{d x} (390 x^{2} - 3120 x^{3})

780 x - 9360 x^{2}

Solution steps

\frac{d}{d x} (390 x^{2} - 3120 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (390 x^{2}) - \frac{d}{d x} (3120 x^{3})

\frac{d}{d x} (390 x^{2}) = 780 x

\frac{d}{d x} (3120 x^{3}) = 9360 x^{2}

= 780 x - 9360 x^{2}

\int_{0}^{π} x^{5} cos (x) d x

\frac{d y}{d x} = \frac{x}{y}

y^{^{'}} - \frac{8}{x} y = \frac{y ^{4}}{x ^{13}}

10 x

\int \frac{5}{2 - 4 x} d x

What is the derivative of 390x^2-3120x^3 ?
The derivative of 390x^2-3120x^3 is 780x-9360x^2
What is the first derivative of 390x^2-3120x^3 ?
The first derivative of 390x^2-3120x^3 is 780x-9360x^2