Option 18 DHS 6.2 Collection of DHS Ryabushko

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Option 18 DHS 6.2 Collection of DHS Ryabushko

DHS - 6.2
Find y´ and y. "
No. 1.18. y = 7x - ctg y.
Find y´ and y. "
No. 2.18. {x = 3 (sint - t cost); y = 3 (cost - t sint).
No. 3.18. For a given function y and argument x0, calculate y ‴ (x0); y = x + arct x; x0 = 1.
speeds of increasing abscissas and ordinates are the same?
No. 4.18. Write the formula for the derivative of the nth order for the function y = 1 / (x - 6);
No. 5.18. Write the equation of the tangent to the curve y = 2x ³ - 1; at the point with the x = π / 3 abscissa.
No. 6.18. The law of motion of a material point S = t³ / 3- 2t²-11t + 275. At what point in time will its speed be 10 m / s?

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