Ryabushko A.P. IDZ 6.2 option 22

DHS - 6.2
Find y ´and y ".
№ 1.22. xy² - y³ = 4x - 5.
Find y ´and y ".
№ 2.22. {X = arccos t; y = √1 - t².
№ 3.22. For a given function y and calculate the argument x0 ‴ y (x0); y = x arccos x; x0 = √3 / 2.
№ 4.22. Write a formula for the derivative of n - th order for the function y = ln (3x-5);
№ 5.22. Find a point on the curve x ^ 4/4 - 7; tangent, which is parallel to the line y = 8x - 4.
№ 6.22. At one point of the curve y² = 16x ordinate increased four times faster than the abscissa?