IDZ 6.2 - Option 1. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.1 y2 = 8x

2. Find the y ´and y´ ´
2.1 x = (2t + 3) cost y = 3t3

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.1 y = sin2x, x0 = π / 2

4. Write a formula for an arbitrary n-th order of the specified function.
4.1 y = lnx
5. Solve the following problems.
5.1 Write the equation of the tangent to the curve y = x2-7x + 3 at the point with abscissa x = 1

6. Solve the following problems.
6.1 Trajectory of the body - the cubic parabola 12y = x3. What it points the rate of increase of the abscissa and ordinate are the same?