- #1
MichaelB1301
- 1
- 0
How do you max/min points of the following equation
z=-3x^2+54x+52y-3xy-2y^2+100
regards
mb
z=-3x^2+54x+52y-3xy-2y^2+100
regards
mb
To find the maximum or minimum point of a function, you will need to first take the derivative of the function and set it equal to 0. Then, solve for the variable and plug the value back into the original function to find the point.
The purpose of maximizing or minimizing a function is to find the highest or lowest point on the graph. This can be useful in many real-life applications, such as maximizing profits or minimizing costs.
A function will have a maximum point if the second derivative is negative and a minimum point if the second derivative is positive. You can also look at the graph of the function to determine if there is a peak or valley.
The coefficient of the squared terms in a function affects the shape of the graph. A positive coefficient will result in a parabola opening upwards, indicating a minimum point, while a negative coefficient will result in a parabola opening downwards, indicating a maximum point.
No, the maximum or minimum point of a function can only occur at a critical point, where the derivative is equal to 0, or at an inflection point, where the second derivative changes sign. Endpoints of the domain cannot be critical points.