Question

What is the relative maximum of the function f(x) = 4x/(x^2+1)

Answer 1

remember that to find relative max/min, you need to find the value of x for which the differential of f(x) is zero.

Answer 2

so first find the differential of the function you are given.

Answer 3

@frank545 - do you know how to differentiate the function you are given?

Answer 4

yup, so differentiate, then set my numerator and denominator equal to zero to get points.....

Answer 5

you just need to set numerator equal to zero

Answer 6

if you have:\[\frac{g(x)}{h(x)}=0\]then it implies:\[g(x)=0\]

Answer 7

\(h(x)=0\) would give you \(\infty\)

Answer 8

k thx

Answer 9

once you have found which value(s) of x give you a zero for \(f'(x)\), you then need to check \(f''(x)\)

Answer 10

in order to determine whether the point represents a minimum, maximum or a point of inflection

Answer 11

see here for details if you are not familiar with this: http://en.wikipedia.org/wiki/Second_derivative_test