Ryabushko A.P. IDZ 6.2 option 9

DHS - 6.2
Find y ´and y ".
№ 1.9. tgy = 3x + 5y.
Find y ´and y ".
№ 2.9. {X = 4t + 2t²; y = 5t³ - 3t².
№ 3.9. For a given function y and calculate the argument x0 ‴ y (x0); y = Ln (x + 1); x0 = 2.
№ 4.9. Write a formula for the derivative of n - th order for the function y = √x;
№ 5.9. Write the equation of the tangent to the curve y = x² -6x + 2; at the point with the abscissa x = 2.
№ 6.9. The law of motion of a material point S = 4sin (t / 3 + π / 6). Find its velocity at time t = π / 2.