IDZ 6.2 - Option 22. Decisions Ryabushko AP

1. Find the y ´and y´ ´

1.22 xy2 - y3 = 4x - 5


2. Find the y ´and y´ ´

2.22 x = arccost y = v1-t2


3. For this function, the argument y and calculate x0 y ´´ ´(x0)

3.22 y = xarccosx, x0 = v3 / 2


4. Write a formula for an arbitrary n-th order of the specified function.

4.22 y = ln (3x - 5)


5. Solve the following problems.

5.22 Find the point on the curve y = x4 / 4 - 7 where the tangent is parallel to the line y = 8x - 4?


6. Solve the following problems.

6.22 At what point of the curve y2 = 16x ordinate increased four times faster than the abscissa?