DHS - 6.2
Find y´ and y. "
No. 1.17. tg y = 4y - 5x.
Find y´ and y. "
No. 2.17. {x = 3 (t - sint); y = 3 (1 - cost)
No. 3.17. For a given function y and argument x0, calculate y ‴ (x0); y = x ^ 4 Ln x; x0 = 1.
No. 4.17. Write the formula for the derivative of the nth order for the function y = ln (4 + x);
No. 5.17. Find out at which points of the curve y = sin2x; the tangent with the Ox axis is an angle of π / 4.
No. 6.17. Two material points move along the Ox axis; the laws of motion of which are x = 4t³ / 3 - 7t + 16; and x = t³ + 2t² + 5t - 8. At what point in time will their speeds be equal?