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IDZ Ryabushko Option 18 KR "Derivatives and their appli

IDZ Ryabushko Option 18 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′
  • Calculate the first derivative of the function for the specified value of the argument or parameter or for the given coordinates of the point.

3.18 x = tlnt, y = (lnt)/t, t = 1

  • Find the second derivative of y′′

4.18 y = e−xcosx

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

6.18. Write the equation of the tangents to the hyperbola хy = 4 at points with abscissas x1 = 1, x2 = −4 and find the angle between the tangents.

  • Solve the following problems.

7.18. The law of motion of a point along a straight line is given by the formula s = 5t – 4/t2 + 3. Find the speed and acceleration of the point 1 s after the start of the motion.

Additional information

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