Ryabushko A.P. IDZ 6.2 option 7

Ryabushko A.P. IDZ 6.2 option 7

DHS - 6.2
Find y ´and y ".
№ 1.7. y² - x = cos y.
Find y ´and y ".
№ 2.7. {X = 2t / (1 + t³); y = t² / (1 + t²).
№ 3.7. For a given function y and calculate the argument x0 ‴ y (x0); y = sin2x; x0 = π.
№ 4.7. Write a formula for the derivative of n - th order for the function y = exp (-2x);
№ 5.7. Determine the slope of the tangent to the curve x² - y² + xy - 11 = 0; at (3, 2).
№ 6.7. The law of motion of a material point S = 3t ^ 4 - t³ + 4t² + 6. Find its velocity at time t = 2 s.

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