Ryabushko A.P. IDZ 6.2 option 1

Ryabushko A.P. IDZ 6.2 option 1

DHS - 6.2
Find y´ and y".
№ 1.1. y² = 8x.
Find y ´and y ".
№ 2.1. X = {(3 + 2t) cost; y = 3t³.
№ 3.1. For a given function and y arguments to calculate x0 y ´´ ´(x0); y = sin2x; x0 = π / 2.
№ 4.1. Write a formula for the derivative of n - th order for the function y = lnx;
№ 5.1. Write the equation of the tangent to the curve y = x² - 7x + 3; at the point with the abscissa x = 1.
№ 6.1. The trajectory of the body - the cubic parabola 12y = x³. In some locations the rate of increase of its abscissa and ordinate are the same?

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