Option 29 DHS 6.2

Option 29 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.29. sin² (3x + y²) = 5.
Find y´ and y. "
No. 2.29. {x = 6t²-4; y = 3t ^ 5.
No. 3.29. For a given function y and argument x0, calculate y ‴ (x0); y = x sin2x; x0 = π / 2.
No. 4.29. Write the formula for the derivative of the nth order for the function y = 1 / (x + 1);
No. 5.29. Find out at which point of the curve y = 7x² - 5x + 4; the tangent is perpendicular to the line 23y + x - 1 = 0.
No. 6.29. The material point moves rectilinearly so that ʋ² = 6x; where ʋ is the speed; x is the distance traveled. Determine the acceleration of the point at the time when the speed is 6 m / s.