Option 20 DHS 6.2

Option 20 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.20. 3y = 7 + xy³.
Find y´ and y. "
No. 2.20. {x = exp (3t); y = exp (-3t).
No. 3.20. For a given function y and argument x0, calculate y ‴ (x0); y = Ln (x² - 4); x0 = 3.
No. 4.20. Write the formula for the derivative of the nth order for the function y = 7ͯ;
№ 5.20. Find out at which points of the curve y = x³ / 3 - 5x² / 2 + 7x + 4; the tangent with the Ox axis is an angle of π / 4.
No. 6.20. At which point of the parabola y² = 8x does the ordinate increase twice as fast as the abscissa?