Option 23 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.23. x²y² + x = 5y.
Find y´ and y. "
No. 2.23. {x = 1 / (t + 1); y = (t / (t + 1)) ².
No. 3.23. For a given function y and argument x0, calculate y ‴ (x0); y = (x + 1) Ln (x + 1); x0 = -1/2.
No. 4.23. Write the formula for the nth order derivative for the function y = x / (x + 5);
No. 5.23. Find a point on the curve y = -3x² + 4x + 7; the tangent in which is perpendicular to the line x - 20y + 5 = 0.
No. 6.23. At which point of the parabola x² = 9y the abscissa increases twice as fast as the ordinate