Ryabushko A.P. IDZ 6.2 option 29

DHS - 6.2
Find y ´and y ".
№ 1.29. sin² (3x + y²) = 5.
Find y ´and y ".
№ 2.29. {X = 6t²-4; y = 3t ^ 5.
№ 3.29. For a given function y and calculate the argument x0 ‴ y (x0); y = x sin2x; x0 = π / 2.
№ 4.29. Write a formula for the derivative of n - th order for the function y = 1 / (x + 1);
№ 5.29. Find out at what point of the curve y = 7x² - 5x + 4; the tangent is perpendicular to the line 23y + x - 1 = 0.
№ 6.29. The material point moves in a straight line so that ʋ² = 6x; where ʋ - speed; x - distance traveled. Determine the acceleration of the point in time when the velocity is 6 m / s.