What is the derivative of 7/3 x^3-2x^2+10 ?

The derivative of 7/3 x^3-2x^2+10 is 7x^2-4x

What is the first derivative of 7/3 x^3-2x^2+10 ?

The first derivative of 7/3 x^3-2x^2+10 is 7x^2-4x

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\frac{d}{d x} (\frac{7}{3} x^{3} - 2 x^{2} + 10)

7 x^{2} - 4 x

Solution steps

\frac{d}{d x} (\frac{7}{3} x^{3} - 2 x^{2} + 10)

Simplify

\frac{7}{3} x^{3} - 2 x^{2} + 10 : \frac{7 x ^{3}}{3} - 2 x^{2} + 10

= \frac{d}{d x} (\frac{7 x ^{3}}{3} - 2 x^{2} + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{7 x ^{3}}{3}) - \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (10)

\frac{d}{d x} (\frac{7 x ^{3}}{3}) = 7 x^{2}

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d}{d x} (10) = 0

= 7 x^{2} - 4 x + 0

Simplify

= 7 x^{2} - 4 x

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What is the derivative of 7/3 x^3-2x^2+10 ?
The derivative of 7/3 x^3-2x^2+10 is 7x^2-4x
What is the first derivative of 7/3 x^3-2x^2+10 ?
The first derivative of 7/3 x^3-2x^2+10 is 7x^2-4x