Option 5 DHS 6.2

Option 5 DHS 6.2

DHS - 6.2
Find y´ and y. "
№ 1.5. y² = 25x- 4.
Find y´ and y. "
Number 2.5. {x = exp (-2t); y = exp (4t).
No. 3.5. For a given function y and argument x0, calculate y´´´ (x0); y = eˣsin 2x; xo = 0.
No. 4.5. Write the formula for the derivative of the nth order for the function y = sin x;
No. 5.5. Write the equation of the tangent to the curve y = x³ - 2x² + 4x - 7; at the point (2; 1).
No. 6.5. At which point of the parabola, y² = 4x the ordinate increases twice as fast as the abscissa.