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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
In algebra knowing that 2 3 = 8 is not sufficient. Equally important to know is what would be the result if quantities like 2 3 . 2 -4 . 2 6 or 3 7 / 3 2
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