Рябушко А.П. ИДЗ 6.2 вариант 11

DHS - 6.2
Find y ´and y ".
№ 1.11. y = eʸ + 4x.
№ 2.11. {X = eᵗ cos t; y = eᵗ sin t.
№ 3.11. For a given function y and calculate the argument x0 ‴ y (x0); y = arcsin x; x0 = 0.
№ 4.11. Write a formula for the derivative of n - th order for the function y = 1 / (x-3);
№ 5.11. Write the equation of the normal to the curve y = x² / 4 - 27x + 60; at the point with the abscissa x = 2.
№ 6.11. The law of motion of a material point S = 5t³ / 3 - t² / 2+ 7. At what point of time it will be equal to the speed of 42 m / s?

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