I hate to post a bunch of questions... just cuz I'm lost... but I guess I'll post the questions and what I got and whoever can help me out with whatever they can help me out with would be nice
I was supposed to solve these by logarithmic differentiation...
i got dy/dx = (lnx)^(2x) * 2((1+lnx*ln(lnx))/lnx)
this next one was a big mess so I don't know if anyone would want to take it on... no need to simplify though
logarithmic differentiation again...
y = (x^(1/2) * e^(x)^(5) * (x^(2) + 1)^(1/3))/(x+1)
i got... a mess... I don't even think I can type it all out... blah... if this one is too much trouble I understand =)
this one seemed simple enough just wanted to make sure I was doing things correctly
x^(y) = y^(x)
i got dy/dx = (-y^(2) + xylny)/(xylnx - x^(2))
These next 2 are just regular differentiation... any help is appreciated.
h(x) = ln(x + (x^(2) - 1)^(1/2))
h'(x) = 1/(x(x^(2))^(1/2) + x - 1)
last one i promise =)
f(x) = ln [((2x^(2) + 1)/(2x-1))^(1/2)]
i came up with
(2x^(2) - 2x - 1)/[(2x^(2)+1) * (2x-1)]
THANK YOU SO MUCH for any help... I really do appreciate it greatly.