# Thread: Differentiate the following function

1. ## Differentiate the following function

R(t)=2t^-1/2

2. Original function $\displaystyle \ R(t) = 2t^{\frac{{ - 1}}{2}} \$
This differentiates to (if I'm not mistaken)
$\displaystyle \ - t^{\frac{{ - 3}}{2}} \$

3. can u show me how you arrived at this answer

4. Bring the original power down and multiply it by the original coefficient and reduce the power by one to get the new power. It's a rule that just has to be learnt.