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Ryabushko A.P. IDZ 6.2 option 12
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DHS - 6.2
Find y ´and y ".
№ 1.12. Ln y - y / x = 7.
№ 2.12. {X = t ^ 4; y = Ln t.
№ 3.12. For a given function y and calculate the argument x0 ‴ y (x0); y = (5x-4) 5; x0 = 2.
№ 4.12. Write a formula for the derivative of n - th order for the function y = Ln (5 + 2x);
№ 5.12. Write the equation of the tangent to the curve y = - x² / 2 + 7x - 15/2; at the point with the abscissa x = 3.
№ 6.12. The law of motion of a material point S = 4t³ - 2t + 11. At what point in time, its velocity is equal to 190 m / s?
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