# How do you find the exact relative maximum and minimum of the polynomial function of #y=x^2 +x -1#?

we have a minimum at

We are dealing with a positive quadratic so we expect a single minimum.

We have:

For the derivative to vanish we have:

graph{y = x^2 + x -1 [-10, 10, -5, 5]}

By signing up, you agree to our Terms of Service and Privacy Policy

To find the exact relative maximum and minimum of the polynomial function ( y = x^2 + x - 1 ), follow these steps:

- Find the derivative of the function ( y ) with respect to ( x ) to get ( y' ).
- Set ( y' ) equal to zero and solve for ( x ) to find critical points.
- Determine the intervals where the function is increasing or decreasing using the first derivative test.
- Evaluate the function ( y ) at the critical points and endpoints of the intervals to find the maximum and minimum values.

By following these steps, you can determine the exact relative maximum and minimum of the given polynomial function.

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you find the inflection points of the graph of the function: # f(x) = (6x)/(x^2 + 16)#?
- How do you find the first and second derivative of # ln(ln x)#?
- What is the second derivative of #f(x)=tan(3x)#?
- How do you graph #f(x)=6x-15# using the information given by the first derivative?
- Is #f(x)=x/(1-x^3e^(x/3)# concave or convex at #x=-2#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7