Question

 

part 1)

For the function f(x)=ln(x)/x^2 on the interval [1,4] find the absolute extrema, as well as all values of x where they occur.

Absolute maximum of  at x=

(If an extremum occurs at multiple values of xx, enter them as a comma-separated list like 5, 6, 8.)

part 2)

For the function f(x)=(x^2−16)^(2/3) on the interval [−5,8] find the absolute extrema, as well as all values of x where they occur.

Absolute maximum of  at x=

part 3)

For the function f(x)=(4+4x/3−x) on the interval [−1,1], find the absolute extrema, as well as all values of xx where they occur.

Absolute maximum of  at x=

Absolute minimum of  at x=

part 4)

For the function f(x)=−(8+3x/4+x) on the interval [−1,2], find the absolute extrema, as well as all values of x where they occur.

Absolute maximum of  at x=

Absolute minimum of  at x=

part 5)

For the function f(x)=x^3−12x^2+45x−60 on the interval [2,7], find the absolute extrema, as well as all values of x where they occur.

Absolute maximum of  at x=

Absolute minimum of  at x=

part 5)

Answer 1