Posted by Amanda on Tuesday, March 19, 2013 at 5:49pm.
To find the absolute maximum of a function within a finite domain, you can do:
find f'(x) and equate to zero to find the relative maxima and minima.
In this case, f'(x)=0 at x=1 and x=3.
By checking with f"(x) or otherwise, you will find that x=1 is a minimum, and x=3 is a maximum.
Evaluate f(3)=2ln(12)-3 = 1.97 approx.
Now evaluate function f(x) at limits of domain, namely f(-3)=2ln(12)+3=7.97 approx., and f(5)=2ln(28)-5=1.66 appro.
Thus the absolute maximum is at x=-3.
Related Questions
Calc - f(x)=2ln(x^2+3)-x Domain [-3,5] how do i find the absolute maximum value ...
Calc - f(x)=2ln(x^2+3)-x Domain [-3,5] how do i find the absolute maximum value ...
Calc - Let f be the function given by f(x)=2ln(x^2+3)-x with domain -3 is less ...
Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum ...
Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum values...
math/calculus - f(x)= the absolute value of x^2-6x-7 a) Find a piecewise defined...
calc - Let f(x)=x^3-3x^2 find the absolute maximum value of f(x) on the interval...
Math - Find the absolute maximum value and the absolute minimum value, if any, ...
pre calc - find all local maxima and minima (the y-values) and the vales where ...
math - Find the absolute maximum value and the absolute minimum value, if any, ...
For Further Reading
