IDZ 6.2 - Option 10. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.10 xy = ctgy
 
2. Find the y ´and y´ ´
2.10 x = lnt / t y = tlnt
 
3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.10 y = 1 / 2x2ex, x0 = 0
 
4. Write a formula for an arbitrary n-th order of the specified function.
4.10 y = xe3x
 
5. Solve the following problems.
5.10 Write the equation of the tangent to the curve y = x2 / 4 - x + 5 at the point with abscissa x = 4

6. Solve the following problems.
6.10 The law of motion of a material point s = -3cos (t / 4 + π / 12) 10. Find