 # Version 6.2 Collection of 18 DHS DHS Ryabushko

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DHS - 6.2
Find y ´and y ".
№ 1.18. y = 7x - ctg y.
Find y ´and y ".
№ 2.18. {X = 3 (sint - t cost); y = 3 (cost - t sint).
№ 3.18. For a given function y and calculate the argument x0 ‴ y (x0); y = x + arctg x; x0 = 1.
the rate of increase in the abscissa and ordinate are the same?
№ 4.18. Write a formula for the derivative of n - th order for the function y = 1 / (x - 6);
№ 5.18. Write the equation of the tangent to the curve y = 2x³ - 1; at the point with the abscissa x = π / 3.
№ 6.18. The law of motion of a material point S = t³ / 3 - 2t² - 11t + 275. At some point in time its velocity is equal to 10 m / s?  