Ryabushko A.P. IDZ 6.2 option 23

DHS - 6.2
Find y ´and y ".
№ 1.23. x²y² + x = 5y.
Find y ´and y ".
№ 2.23. {X = 1 / (t + 1); y = (t / (t + 1)) ².
№ 3.23. For a given function y and calculate the argument x0 ‴ y (x0); y = (x + 1) Ln (x + 1); x0 = -1/2.
№ 4.23. Write a formula for the derivative of n- th order for the function y = x / (x + 5);
№ 5.23. Find a point on the curve y = -3x² + 4x + 7; tangent which is perpendicular to the line x - 20y + 5 = 0.
№ 6.23. At what point of the parabola x² = 9y abscissa grows twice as fast as the ordinate?