Option 22 DHS 6.2 Collection of DHS Ryabushko

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Option 22 DHS 6.2 Collection of DHS Ryabushko

DHS - 6.2
Find y´ and y. "
No. 1.22. xy² - y³ = 4x- 5.
Find y´ and y. "
No. 2.22. {x = arccos t; y = √1 - t².
No. 3.22. For a given function y and argument x0, calculate y ‴ (x0); y = x arccos x; x0 = √3 / 2.
No. 4.22. Write the formula for the derivative of the n-th order for the function y = ln (3x-5);
No. 5.22. Find a point on the curve x ^ 4/4 - 7; tangent in which the line is parallel y = 8x - 4.
No. 6.22. At what point of the curve y² = 16x does the ordinate increase four times faster than the abscissa

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