Option 27 DHS 6.2

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