Ryabushko A.P. IDZ 6.2 option 5

Ryabushko A.P. IDZ 6.2 option 5

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

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