Option 7 DHS 6.2

Option 7 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.7. y² - x = cos y.
Find y´ and y. "
No. 2.7. {x = 2t / (1 + t³); y = t² / (1 + t²).
No. 3.7. For a given function y and argument x0, calculate y ‴ (x0); y = sin2x; x0 = π.
No. 4.7. Write the formula for the derivative of the nth order for the function y = exp (-2x);
No. 5.7. Determine the angular coefficient of the tangent to the curve x² - y² + xy - 11 = 0; at the point (3; 2).
No. 6.7. The law of motion of a material point S = 3t ^ 4 - t³ + 4t² + 6. Find its velocity at time t = 2 s.