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IDZ Ryabushko Option 17 KR "Derivatives and their appli

IDZ Ryabushko Option 17 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′

2.17 y = ecosx sin2x

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

3.17 y2 = x + ln(y/x), x = 1, y = 1

  • Find the second derivative of y′′

4.17 y = excos4x

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

6.17. Write the equations of the tangents and normals to the curve y = 4x – x3 at the points of its intersection with the Ox axis.

  • Solve the following problems.

7.17. A point moves along a parabola y = √6x so that its abscissa increases at a speed of 10 cm/s. What is the rate of change of the ordinate at this point at the moment when x = 6?

Additional information

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