Ryabushko A.P. IDZ 6.2 option 8

Ryabushko A.P. IDZ 6.2 option 8

DHS - 6.2
Find y ´and y ".
№ 1.8. 3x + siny = 5y.
Find y ´and y ".
№ 2.8. {X = √ t² - 1; y = (t + 1) / √ t² - 1.
№ 3.8. For a given function y and calculate the argument x0 ‴ y (x0); y = (2x + 1) = 5; x0 = 1.
№ 4.8. Write a formula for the derivative of n - th order for the function y = ln (3 + x);
№ 5.8. At one point of the curve y² = 4x³ tangent is perpendicular to the line x + 3y - 1 = 0.
№ 6.8. The law of motion of a material point S = 4 cos (t / 4 + π / 4). Find its velocity at time t = π seconds.

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