IDZ 6.2 - Option 12. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.12 lny - y / x = 7

2. Find the y ´and y´ ´
2.12 x = t4, y = lnt

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.12 y = (5x - 4) 5, x0 = 2
 
4. Write a formula for an arbitrary n-th order of the specified function.
4.12 y = ln (5 + x2)

5. Solve the following problems.
5.12 Write the equation of the tangent to the curve y = -x2 / 2 + 7x - 15/2 at the point with abscissa x = 3

6. Solve the following problems.
6.12 The law of motion of a material point s = 4t3 - 2t + 11. At some point in time it will be equal to the speed of 190