IDZ 6.2 - Option 15. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.15 4sin2 (x + y) = x

2. Find the y ´and y´ ´
2.15 x = arctgt y = ln (1 + t2)

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.15 y = xsin2x, x0 = -π / 4

4. Write a formula for an arbitrary n-th order of the specified function.
4.15 y = 5x

5. Solve the following problems.
5.15 Write the equation of the normal to the curve y = 6tg5x at the point with abscissa x = π / 20

6. Solve the following problems.
6.15 The axis Ox move two material points, the laws of motion are