It looks like a double ski ramp...going down, min, then up, then way down to the bottom of the hill, then up slightly, then down. The first minimum is greater than the small rise at the bottom

Sketch the graph of a differentiable function y = f(x) with this property:

A local minimum value that is greater than one of its local maximum values.

Sorry for the double post. Thanks.

How do you do this? Can you please clarify?

I am not sure if this is going to help but if you go to answers . com or google you will probably find somethign.Or you can check in your math book to see if it is there.Please report to me.Thanks!
Margie~

I googled, and it's not in my book either. :(

oH SORRY!WELL UM...LET ME SEE,WHAT MATH CLASS ARE YOU IN?MAYBE I CAN CHECK IN MINE!

oH LOL!I AM ONLY IN GEOMETRY!SORRY BUT UM CAN YOU HELP ME AND MY FRIEND MARTHA?PLEASE!!!:(SHE POSTED ALL THE PROBLEMS WE DON'T GET FROM OUR 105 ? STUDY GUIDE!!!PLZ HELP!

ap calculus

oH LOL!I AM ONLY IN GEOMETRY!SORRY BUT UM CAN YOU HELP ME AND MY FRIEND MARTHA?PLEASE!!!:(SHE POSTED ALL THE PROBLEMS WE DON'T GET FROM OUR 105 ? STUDY GUIDE!!!PLZ HELP!

To sketch the graph of a differentiable function with a local minimum value that is greater than one of its local maximum values, we can follow these steps:

1. Start by understanding the concept of local minimum and local maximum.
- A local minimum occurs at a point where the function is at its lowest value in a specific interval, but it could be higher than the overall minimum of the function.
- A local maximum occurs at a point where the function is at its highest value in a specific interval, but it could be lower than the overall maximum of the function.
- Both local minimum and local maximum occur at points where the derivative of the function is zero or undefined.

2. Identify the key points needed for the graph:
- We need a local minimum that is greater than one of the local maximum values. This means we need at least two local maximum points.

3. Sketch the general shape of the graph:
- Visualize a curve that starts by going downwards (negative slope) until it reaches its first local minimum.
- Then, the graph goes upwards (positive slope) until it reaches its first local maximum.
- Next, the graph goes downwards again (negative slope) until it reaches a second local minimum, which is higher than the previous local maximum.
- Finally, the graph continues downwards (negative slope) towards the bottom of the hill.

4. Choose a specific equation for the graph:
- Many differentiable functions could meet these requirements. Let's use a simple example of a quadratic function: y = ax^2 + bx + c, where a, b, and c are constants.

5. Determine the specific values of a, b, and c to match the sketch:
- Start by considering the first local minimum. The x-coordinate of this point will be the x-coordinate of the vertex of the parabola.
- To simplify the example, let's suppose the first local minimum is at x = 0.
- Since it is a local minimum, the derivative of the function at this point should be zero.
- Substituting x = 0 into the derivative of the function, we can determine one equation involving the constants a, b, and c.
- To make the local minimum higher than the local maximum, we need the coefficient of x^2 to be positive (a > 0).
- We also want the local maximum to occur before the second local minimum, so we can choose a negative value for the coefficient of x.

6. Finalize the equation and sketch the graph:
- After determining the specific values of a, b, and c, substitute them into the equation y = ax^2 + bx + c.
- Plot the points obtained from the equation and connect them to create the graph.
- Make sure the graph matches the desired shape with the local minimum greater than one of the local maximum values.

Note: The specific equation and values chosen for this example are just a starting point. Depending on the specific requirements or constraints, other equations and values might be more suitable.