Homework SourseFind the critical if any of the following function on the do
Find the critical, if any, of the following function on the domain.
Use a graphing utility to determine whether each critical point correspong to a local minimum, or local maximum or neither.
f(x)= 14x/x^2+49
Use a graphing utility to determine whether each critical point correspong to a local minimum, or local maximum or neither.
f(x)= 14x/x^2+49
Solution
f(x)= 14x/x^2+49 f\'(x)= 14(x^2+49 -x*2x)/(x^2+49)^2 =0 ==>49-x^2=0 ==>x=-7,7 at x=-7 ==>f(x)=-14*7/2*49=-1 ------->minimum at x=7 ==>f(x)=14*7/2*49=1 ------->maximum
