IDZ Ryabushko Option 16 KR "Derivatives and their appl

Product description

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

• Find the first derivative of y′

• Find the first derivative of y′

2.16 y = arcsin(tgx)

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

3.16 yey = ex + 1, x = 0, y = 1

• Find the second derivative of y′′

4.16 y = (1 + x2)tgx

• Find the second derivative d2y/dx2 of the function.

• Solve the following problems.

6.16. Write the equations of the tangents and normals to the curve x2 + y2 + 4x – 2y – 3= 0 at the points of its intersection with the Oy axis.

• Solve the following problems.

7.16. The law of motion of a point along the Ox axis s = 5t – t2. Find the speed and acceleration of the point for the moments of time t1 = 0, t2 = 1 s

Additional information

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