# find `y'` when `y=(t^2+8t)/(3t)` without using the quotient rule.

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### 1 Answer

To find the derivative of this function, we first want to simplify it, then we can take the derivative.

Notice that when `t ne 0` ,

`y={t^2+8t}/{3t}` divide numerator and denominator by `t`

`=1/3(t+8)`

now we can take the derivative. In this case, we just have a power rule for the first term, and the second term is a constant, so its derivative is zero.

`y' = 1/3`

**Without using the quotient rule, the derivative is `y'=1/3` .**