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IDZ Ryabushko Option 7 KR "Derivatives and their applic

IDZ Ryabushko Option 7 KR "Derivatives and their applic

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Product description

Test "Derivatives and their applications" (2 hours). 260 p.

  • Find the first derivative of y′
  • Find the first derivative of y′

2.7 y = e−1/cosx

  • Calculate the first derivative of the function for the specified value of the argument or parameter or for the given coordinates of the point.

3.7 f(x) = 3√x2, x = –8

  • Find the second derivative of y′′

4.7 y = 2cotg3x

  • Find the second derivative d2y/dx2 of the function.
  • Solve the following problems.

6.7. At what value of a does the curve y = (ax + x3)/4 intersect the Ox axis at an angle of 45°?

  • Solve the following problems.

7.7. The raft is pulled to the shore by a rope that is wound onto a winch at a speed of 50 m/min. Determine the speed of the raft at the moment when its distance from the shore is 25 m, if the winch is located on the shore 6√6 m above the water surface.

Additional information

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones. In MS Word (doc format) sent additionally.