APpreciate student

How do I find the derivative of x^ (1/(x-1)) is it (1/(x-1)) x^[1-(1/(x-1))] * (-1/ (x-1)^2) ?? If not, can you please write out what rule I should use? Thank you very much!

I am not sure how to approach this...I have to find the value of x that makes the derivate of f(x) equal to zero...here's what I have so far (is it correct?) and how is the problem finished? Thank you very much! f(x) = (1/x) + ln(x) f'(X) = ln|x| + (1/x)...

Hi! Thank you very much! My question is: how do you find the antiderivative of 1 / (square root[1-(x^2)]) aka antideriv( [1/(x^2)] ^ -1) THank you!!

hi! ok, i know that deriv(cscx) = -cscxcotx and that deriv(cos) = -sinx deriv(cotx) = -((cscx)^2) my question is: is this (statements below) correct? antideriv(cscxcotx) = -(cscx) antideriv(sinx) = -cosx antideriv((cscx)^2)= -cotx were those antiderivativ...