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

The derivative of 5/3 x^3-5/2 x^2 is 5x^2-5x

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

The first derivative of 5/3 x^3-5/2 x^2 is 5x^2-5x

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derivative of

\frac{5}{3} x^{3} - \frac{5}{2} x^{2}

5 x^{2} - 5 x

Solution steps

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

Simplify

\frac{5}{3} x^{3} - \frac{5}{2} x^{2} : \frac{5 x ^{3}}{3} - \frac{5 x ^{2}}{2}

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

Apply the Sum/Difference Rule:

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

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

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

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

= 5 x^{2} - 5 x

\frac{4 x ^{2} + 4 x + 8}{x}

\int 3 cos (2 x) d x

f (x) = ln (2 x)

\int \frac{x + 1}{x ( x - 2 ) ( x - 3 )} d x

\frac{d}{d y} (\frac{x ^{2}}{2} - x y)

What is the derivative of 5/3 x^3-5/2 x^2 ?
The derivative of 5/3 x^3-5/2 x^2 is 5x^2-5x
What is the first derivative of 5/3 x^3-5/2 x^2 ?
The first derivative of 5/3 x^3-5/2 x^2 is 5x^2-5x