What is the first derivative of t^3 ?

The first derivative of t^3 is 3t^2

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derivative of t^3

derivative of

t^{3}

3 t^{2}

Solution steps

\frac{d}{d t} (t^{3})

Apply the Power Rule:

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

= 3 t^{3 - 1}

Simplify

= 3 t^{2}

f (x) = 20 x + \frac{420}{x}

f (x) = 2 x^{2} + 1

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