What is the derivative of 13/3 x^3+21/2 x^2-10x-7 ?

The derivative of 13/3 x^3+21/2 x^2-10x-7 is 13x^2+21x-10

What is the first derivative of 13/3 x^3+21/2 x^2-10x-7 ?

The first derivative of 13/3 x^3+21/2 x^2-10x-7 is 13x^2+21x-10

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\frac{d}{d x} (\frac{13}{3} x^{3} + \frac{21}{2} x^{2} - 10 x - 7)

13 x^{2} + 21 x - 10

Solution steps

\frac{d}{d x} (\frac{13}{3} x^{3} + \frac{21}{2} x^{2} - 10 x - 7)

Simplify

\frac{13}{3} x^{3} + \frac{21}{2} x^{2} - 10 x - 7 : \frac{13 x ^{3}}{3} + \frac{21 x ^{2}}{2} - 10 x - 7

= \frac{d}{d x} (\frac{13 x ^{3}}{3} + \frac{21 x ^{2}}{2} - 10 x - 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{13 x ^{3}}{3}) + \frac{d}{d x} (\frac{21 x ^{2}}{2}) - \frac{d}{d x} (10 x) - \frac{d}{d x} (7)

\frac{d}{d x} (\frac{13 x ^{3}}{3}) = 13 x^{2}

\frac{d}{d x} (\frac{21 x ^{2}}{2}) = 21 x

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

\frac{d}{d x} (7) = 0

= 13 x^{2} + 21 x - 10 - 0

Simplify

= 13 x^{2} + 21 x - 10

What is the derivative of 13/3 x^3+21/2 x^2-10x-7 ?
The derivative of 13/3 x^3+21/2 x^2-10x-7 is 13x^2+21x-10
What is the first derivative of 13/3 x^3+21/2 x^2-10x-7 ?
The first derivative of 13/3 x^3+21/2 x^2-10x-7 is 13x^2+21x-10