*Find absolute maximum and minimum values of a function f given by *

*f(x)=12 x ^{4/3} - 6 x^{1/3} *,x belongs to [-1,1].

Ans=absolute maximum value=18 and minimum value of f is -9/4.

the given function is:

put

now we will find the values of f(x) at critical points and at extreme values:

thus absolute minimum value = -9/4 at x = 1/8

and absolute maximum value = 18 at x = -1

hope this helps you.

cheers!!

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