- #1
dexza666
- 4
- 0
tough one
find all critical points of
f(x, y)=e^x(1-cos y)
and classify these critical points.
find all critical points of
f(x, y)=e^x(1-cos y)
and classify these critical points.
Critical points in a math problem refer to the points where the derivative of a function is equal to zero. These points are important in finding maximum and minimum values of a function.
2.To find critical points, you need to take the derivative of the function and set it equal to zero. Then, solve for the variable to find the critical points.
3.The purpose of finding critical points is to determine the maximum and minimum values of a function. These points can also help in graphing the function and understanding its behavior.
4.No, a critical point can only be classified as either a maximum or a minimum. This is determined by the behavior of the function to the left and right of the critical point.
5.A local extremum refers to the maximum or minimum value of a function within a specific interval. A global extremum, on the other hand, refers to the maximum or minimum value of a function over its entire domain.