Option 10 DHS 6.2

Option 10 DHS 6.2

DHS - 6.2
Find y´and y.
№ 1.10. xy = ctg x.
№ 2.10. {x = L (t) / t; y = t Ln t.
No. 3.10. For a given function y and argument x0, calculate y ‴ (x0); y = x²eˣ; x0 = 0.
No. 4.10. Write the formula for the derivative of the nth order for the function y = x e³ˣ;
№ 5.10. Write the equation of the tangent to the curve y = x² / 4 - 4x + 5; at the point with the x = 4 abscissa.
No. 6.10. The law of motion of the material point S = -3 cos (t / 4 + π / 12). Find its velocity at time t = 2π / 3s.