SOLUTION: Hello everyone,I am having some trouble solving this problem. f(t) = {{{ 5sqrt(t) - 1/5sqrt(t) }}} Differentiate the following function: f'(t) = ? I am stuck on this proble

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Question 1203832: Hello everyone,I am having some trouble solving this problem.
f(t) = +5sqrt%28t%29+-+1%2F5sqrt%28t%29+
Differentiate the following function:
f'(t) = ?
I am stuck on this problem and have been trying to solve it for a little while now so any help would be appreciated :)


Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

It does not assume any knowledge or skills outside of finding derivatives
of standard table functions.

So, it is a routine job for a Calculus student.


How can you "stuck on it" ? Would you like to say that you,
a Calculus student, do not know basic rules of differentiation ?


It is the same as to say "I am stuck on multiplication table".


My impression from your post is that you even are proud of it . . .



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Write the radicals as fractional exponents:

f%28t%29=5t%5E%281%2F2%29-%281%2F5%29t%5E%28-1%2F2%29

Then finding the derivative involves only the most basic derivative:

f%28t%29=at%5En --> df%2Fdt=nat%5E%28n-1%29

If you still have trouble with the problem, re-post showing what work you have tried to do. (Do NOT respond with a "thank you" note to me -- re-post the whole problem, showing your work.)