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Popular Calculus >

((t^3)/3)^'

Solution

(\frac{t ^{3}}{3})^{^{'}}

Solution

t^{2}

Solution steps

(\frac{t ^{3}}{3})^{'}

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} (t^{3})^{^{'}}

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{3} \cdot 3 t^{3 - 1}

Simplify

\frac{1}{3} \cdot 3 t^{3 - 1} : t^{2}

= t^{2}

Graph

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Frequently Asked Questions (FAQ)

What is the ((t^3)/3)^' ?
The ((t^3)/3)^' is t^2
What is the first ((t^3)/3)^' ?
The first ((t^3)/3)^' is t^2