Differentiation, I'm I doing it right?

[Kingyou123]

Homework Statement

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Homework Equations

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The Attempt at a Solution

I took dt of both sides. The part that confuses me is when you take the derivative of 1 over t . The one becomes a 0 and the t becomes a dt. Just want to make sure I did that right.

 

[brainpushups]

If you are taking the derivative of 1/t think of it as $t^{-1}$ and apply the rule for powers.

 

[Kingyou123]

So it would be , -t^-2?

 

[pbuk]

Edit: crossposted. You are on the right track now.

You should not end up with $dt$ on its own. Go back to your notes and look at how to differentiate two terms added together, and how to differentiate $x^n$ (bearing in mind that $x = x^1$ and $\frac 1x = x^{-1}$).