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- How are the absolute maximum and minimum similar to and different from the local extrema?How do I solve the derivative for x to find the critical points and identify the absolute minimum and maximum?Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local minimum at the critical point x = 0.
- If the function tends to infinity at the endpoints of the interval, then the function must take on a minimum value at a critical point.On the interval 2 < x < 4, there is a relative… •maximum •minimum •increasing •decreasing •constantConsider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or minimum at the critical point?
- I am not sure how to get the marginal average cost with partial derivativesWhat values of a and b make ƒ(x) = x3 + ax2 + bx have a local minimum at x = 4 and a point of inflection at x = 1?Sketch the graph of a function with a critical point that is not an extremum and a critical point where the derivative does not exist but is an extremum.