(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find ds/dt for s=(t^{2})^{(1/7)}

2. Relevant equations

I attempted to find the answer by using the chain rule...

3. The attempt at a solution

ds/dt = (1/7)*(t^{2})^{-(6/7)}*(2t)

ds/dt = (2/7)*t*(t^{2})^{-(6/7)}

I belive that would be the answer but the problem is that the answer key in the book tells me that ds/dt = (2/7)t^{-(5/7)}

I don't understand what they did to cancel out the t^{2}ang get the power to be -5/7

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# Finding the Derivative

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