Ryabushko A.P. IDZ 6.2 option 6

DHS - 6.2
Find y ´and y ".
№ 1.6. arctg y = 4x + 5y.
Find y ´and y ".
№ 2.6. {X = √t; y = 5√t.
№ 3.6. For a given function and y arguments to calculate x0 y ´´ ´(x0); eˉˣcos y = x; xo = 0.
№ 4.6. Write a formula for the derivative of n - th order for the function y = 1 / (x + 5);
Number 5.6.Zapisat equation of the normal to the curve y = x³ - 5x² + 7x - 2; at (1, 1).
№ 6.6. The law of motion of a material point S = t4 - 3t² + 2t - 4. Find the velocity of the point in time t = 2 s.