Concept explainers
In Exercises 11–16, investigate the given two parameter family of functions. Assume that a and b are positive.
- (a) Graph f(x) using b = 1 and three different values for a.
- (b) Graph f(x) using a = 1 and three different values for b.
- (c) In the graphs in parts (a) and (b), how do the critical points of f appear to move as a increases? As b increases?
- (d) Find a formula for the x-coordinates of the critical point(s) of f in terms of a and b.
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Calculus: Single And Multivariable
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