Ryabushko A.P. IDZ 6.2 option 13

DHS - 6.2
Find y ´and y ".
№ 1.13. x² + y² = sin y.
№ 2.13. {X = 5cos t; y = 4sin t. /
№ 3.13. For a given function y and calculate the argument x0 ‴ y (x0); y = x sinx; x0 = π / 2.
№ 4.13. Write a formula for the derivative of n - th order for the function y = exp (4x);
№ 5.13. Write the equation of the normal to the curve y = 3 2x + 1 tg; at the point with the abscissa x = π / 2.
№ 6.13. The law of motion of a material point S = 5t³ / 3 - 2t + 7. Find its velocity at time t = 4.