Ryabushko A.P. IDZ 6.2 option 30

Ryabushko A.P. IDZ 6.2 option 30

DHS - 6.2
Find y ´and y ".
№ 1.30. ctg² (x + y) = 5 x.
Find y ´and y ".
№ 2.30. {X = arcsin t; y = Ln t.
№ 3.30. For a given function y and calculate the argument x0 ‴ y (x0); y = sin (x³ + π); x0 = ³√π.
№ 4.30. Write a formula for the derivative of n - th order for the function y = ln (5x-1);
№ 5.30. Find out at what point of the curve y = x² / 4 - 7x + 5; the tangent is parallel to the line y = 2x + 5.
№ 6.30. The law of motion of a material point S = 3t + t³. Find its velocity at time t = 2 s.

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