How do I find the derivative of the above? I am able to plug it in and play around with it but I cannot seem to simplify it enough to get an answer out of it.
2006-07-10 12:51:18 · 5 answers · asked by Les L 1 in Science & Mathematics ➔ Mathematics
1 + 1/[2sqrt(x)].
2006-07-10 12:54:13 · answer #1 · answered by mathematician 7 · 0⤊ 0⤋
f (x) = x + x^(1/2)
f '(x) = 1 + (1/2)x^(-1/2)
If you're looking for a simplified fraction (rather than a sum of two terms), rationalize your denominator, then add.
1 + 1 / (2âx)
= 1 + âx / 2x
= (2x / 2x) + (âx / 2x)
= (2x + âx) / 2x
2006-07-10 20:55:35 · answer #2 · answered by Louise 5 · 0⤊ 0⤋
Mathematician's answer is right, and so is Otterluv if you cut her some slack about parentheses. What do you mean by "get an answer out of it"?
2006-07-10 19:59:23 · answer #3 · answered by Philo 7 · 0⤊ 0⤋
1 + (1/2)xto the power(-1/2)
2006-07-10 19:55:23 · answer #4 · answered by want to know 2 · 0⤊ 0⤋
1 + (1/2)x^(-1/2)
or
1 + 1/2sqrt(x)
2006-07-10 19:53:59 · answer #5 · answered by otterluv37 1 · 0⤊ 0⤋