Differentiate functions h (t ) = 2t5 + t2- 5 / t2 , Mathematics

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Differentiate following functions.

h (t ) = 2t⁵+ t²- 5 / t²

We can simplify this rational expression as follows.

h (t ) = 2t⁵/ t²+ t²/ t²- 5 / t²= 2t ³ + 1 - 5t ^-2

It is a function which we can differentiate.

h′ (t ) = 6t ² ++ 10t ^-3

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