Evaluate the derivative of the function f(x) = 2/√x at the point where x = a.
2007-04-04 04:38:29 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I assume that you want to know how to get the answer not just what it is and also that you'd prefer the right answer.
You first change f(x) = 2/sqrt(x) into f(x) = 2*x^(-1/2).
Then you just apply the power rule which will give you a different answer to the one above. Then you replace x by a.
(I think that the previous person misread your function as 2*sqrt(x) because then his answer would be correct.)
2007-04-04 06:30:16 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The derivative for x>=0 is f'(x) = 1/sqrt(x). If x = a, then f'(x) = f'(a) = 1/sqrt(a), a >0. (supposing a real valued function)
2007-04-04 04:51:20 · answer #2 · answered by Steiner 7 · 0⤊ 0⤋
find the derivative and plug in a where you see x
2007-04-04 04:42:56 · answer #3 · answered by Anonymous · 0⤊ 0⤋