Option 28 DHS 6.2 Collection of DHS Ryabushko

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Option 28 DHS 6.2 Collection of DHS Ryabushko

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

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