Option 4 DHS 6.2

Option 4 DHS 6.2

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