What is the first derivative of t^5 ?

The first derivative of t^5 is 5t^4

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derivative of t^5

derivative of

t^{5}

5 t^{4}

Solution steps

\frac{d}{d t} (t^{5})

Apply the Power Rule:

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

= 5 t^{5 - 1}

Simplify

= 5 t^{4}

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