Option 16 DHS 6.2

Option 16 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.16. sin y = 7x + 3y.
Find y´ and y. "
No. 2.16. {x = arcsin t; y = √ 1 - t².
No. 3.16. For a given function y and argument x0, calculate y ‴ (x0); y = x cos2x; x0 = π / 12.
No. 4.16. Write the formula for the derivative of the nth order for the function y = exp (-5x);
No. 5.16. Write the equation of the tangent to the curve y = 4 sin6x; at the point with abscissa x = π / 18.
No. 6.16. Two material points move along the Ox axis; the laws of motion of which are x = 5t² - t + 6 and x = 4t² + 18. With what speed do these points move away from each other at the time of the meeting?