Ryabushko A.P. IDZ 6.2 option 27

DHS - 6.2
Find y ´and y ".
№ 1.27. √x + √ = √7.
Find y ´and y ".
№ 2.27. {X = Ln²t; y = t + Lnt.
№ 3.27. For a given function y and calculate the argument x0 y‴(x0); y = x arcctg x; x0 = 2.
№ 4.27. Write a formula for the derivative of n - th order for the function y = 4 / (x + 3);
№ 5.27. Find a point on the curve y = -x² + 7x + 16; tangent which is parallel to the line y = 3x + 4.
№ 6.27. The body moves in a straight line Ox according to the law S = t³ / 3 - 7t² / 2 + 10t - 16. Determine the velocity and acceleration of body movements. At what times it changes direction?