Question

How to simplify the expression:
((1/((x+h)^1/2)-(1/(x^1/2)))/h

Answer 1

it seems u r finding the derivative of 1/sqrt(x) using limits

Answer 2

first take LCM and then multiply by something
like sqrt(x) +sqrt(x+h) both numerator and denominator and then ytaking limits will be easier as h may cancel out

Answer 3

The section I doing practice for doesn't involve derivatives... It's only requiring me to simplify it algebraically, any suggestions?

Answer 4

no need to worry
its same
may be uare in the pre-calculus stage...

Answer 5

Could you walk me through on how to do it?

Answer 6

ur question simplifies to
(sqrt(x) - sqrt(x+h) )/(h *sqrt(x)*sqrt(x+h))

=(sqrt(x) - sqrt(x+h) ) * (sqrt(x) - sqrt(x+h) )/ (h *sqrt(x)*sqrt(x+h) *(sqrt(x) - sqrt(x+h) ) )
=(x-x-h)/ (h *sqrt(x)*sqrt(x+h) *(sqrt(x) - sqrt(x+h) ) )
= -h/ (h *sqrt(x)*sqrt(x+h) *(sqrt(x) - sqrt(x+h) ) )
=-1 (sqrt(x)*sqrt(x+h) *(sqrt(x) - sqrt(x+h) ) )

Answer 7

Thank you so much, that really helped with the breakdown!

Answer 8

The program I'm using said that the answer wasn't recognized..

Answer 9

there may be extra left or right braces ..