Please help me with log derivatives

Please help me with log derivatives

If y=eloge(log x)2 Fine dy/dx . What is used of ??sum...

y=x^√x

ive got 3 questions lim x approaches positive 1 (sq rt of x^2 - 1) / (arcsecx) lim x approaches 0 2arctan3x^2 / 7x^2 initial value prob dy/dx=1/(x^2+1)...

im struck with this ques please help me out !!!!! please give a detail answer tried much but always wrong.

Can you please help me find the derivative of this? y = (-√(x2+1)/x) + ln (x+√(x2+1))

Find the equation of the tangent line to the graph of y=f(x) at x f(x)=ln(-x) x=-e^3