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Popular >

derivative of 11/3 t^3+11t^2

Solution

derivative of

\frac{11}{3} t^{3} + 11 t^{2}

Solution

11 t^{2} + 22 t

Solution steps

\frac{d}{d t} (\frac{11}{3} t^{3} + 11 t^{2})

Simplify

\frac{11}{3} t^{3} + 11 t^{2} : \frac{11 t ^{3}}{3} + 11 t^{2}

= \frac{d}{d t} (\frac{11 t ^{3}}{3} + 11 t^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (\frac{11 t ^{3}}{3}) + \frac{d}{d t} (11 t^{2})

\frac{d}{d t} (\frac{11 t ^{3}}{3}) = 11 t^{2}

\frac{d}{d t} (11 t^{2}) = 22 t

= 11 t^{2} + 22 t

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Frequently Asked Questions (FAQ)

What is the derivative of 11/3 t^3+11t^2 ?
The derivative of 11/3 t^3+11t^2 is 11t^2+22t
What is the first derivative of 11/3 t^3+11t^2 ?
The first derivative of 11/3 t^3+11t^2 is 11t^2+22t