Option 6 DHS 6.2

Option 6 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.6. arcctg y = 4x + 5y.
Find y´ and y. "
No. 2.6. {x = √t; y = 5√t.
No. 3.6. For a given function y and argument x0, calculate y´´´ (x0); y = eˉˣcos x; xo = 0.
No. 4.6. Write the formula for the derivative of the nth order for the function y = 1 / (x + 5);
No. 5.6. Write the equation of the normal to the curve y = x³ - 5x² + 7x - 2; at the point (1; 1).
No. 6.6. The law of motion of a material point S = t4 - 3t² + 2t - 4. Find the velocity of a point at time t = 2 s.