Version 6.2 Collection of 24 DHS DHS Ryabushko

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Uploaded: 23.07.2017
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DHS - 6.2
Find y ´and y ".
№ 1.24. x ^ 4 + x²y² + y = 4.
Find y ´and y ".
№ 2.24. {X = 5sin³t; y = 3cos³t;
№ 3.24. For a given function y and calculate the argument x0 y‴(x0); y = Ln³x; x0 = 1.
№ 4.24. Write the formula for the derivative of n - th order function y = ln (1 / (4-x));
№ 5.24. Find a point on the curve y = 3x² - 4x + 6; tangent, which is parallel to 8x - y - 5 = 0.
№ 6.24. At what point of the parabola x² = 20y abscissa grows five times faster than the ordinate?

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