Option 13 DHS 6.2

Option 13 DHS 6.2

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