IDZ 6.2 - Option 5. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.5 y2 = 25x - 4

2. Find the y ´and y´ ´
2.5 x = e-2t y = e4t
 
3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.5 y = exsin2x, x0 = 0
 
4. Write a formula for an arbitrary n-th order of the specified function.
4.5 y = sinx

5. Solve the following problems.
5.5 Write the equation of the tangent to the curve y = x3 - 2x2 + 4x - 7 at the point (2, 1)

6. Solve the following problems.
6.5 At what point of the parabola y2 = 4x ordinate increasing twice as fast as the abscissa?