 # Version 6.2 Collection of 28 DHS DHS Ryabushko

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DHS - 6.2
Find y ´and y ".
№ 1.28. y² = (x-y) / (x + y).
Find y ´and y ".
№ 2.28. {X = t exp (t); y = t / exp (t).
№ 3.28. For a given function y and calculate the argument x0 y‴(x0); y = (7x - 4) = 6; x0 = 1.
№ 4.28. Write a formula for the derivative of n - th order for the function y = (1 + x) / √x;
№ 5.28. Find out at what point of the curve y = 4x² - 10x + 13; the tangent is parallel to the line y = 6x - 7.
№ 6.28. The relationship between the weight x kg substance produced in a chemical reaction, and the time t is given by
x = 7 (1 - exp (-4t)). To determine reaction rate at time t = 0 s.  