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IDZ Ryabushko Option 20 KR "Derivatives and their appli

IDZ Ryabushko Option 20 KR "Derivatives and their appli

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Product description

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

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

2.20 s = et/cost

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

3.20 x = et cost, y = et sint, t = π/4

  • Find the second derivative of y′′

4.20 y = xe−x3

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

6.20. Find the equations of the tangent and normal to the curve 4х3 – 3ху2 + 6х2 – 5ху – 3y2 + 9х + 14 = 0 at the point (–2, 3).

  • Solve the following problems.

7.20. A point moves according to the law s = 4t3 + 2t2 – 5 (cm). Find the speed and acceleration of the point after 2 s.

Additional information

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