Ryabushko A.P. IDZ 6.2 option 4

Ryabushko A.P. IDZ 6.2 option 4

DHS - 6.2
Find y ´and y ".
№ 1.4. x² / 5 + y² / 3 = 1.
Find y ´and y ".
№ 2.4. {X = 1 / (t + 2); y = (t / (t + 2)) ².
№ 3.4. For a given function and y arguments to calculate x0 y ´´ ´(x0); eˣcos y = x; xo = 0.
№ 4.4. Write a formula for the derivative of n - th order for the function y = cos x;
№ 5.4. Write the equation of the normal to the curve y = √x + 4; at the point with the abscissa x = -3.
№ 6.4. The material point moves along the hyperbola xy = 12, so that its abscissa x uniformly increases with the speed of 1 m / s. How fast changes ordinate point where it
passes the position (6, 2)?

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