The absolute minimum value of x4 – x2 – 2x+ 5 (a) is equal to 5 (b) is equal to 3 (c) is equal to 7 (d) does not exist

Answer-

The abs. minimum value of the given function was found to be 3.

Solution-

Here, the given function is,

Then, calculating its first derivative,

Then, calculating its second derivative,

Then, calculating all the critical values of the given function by equating the first derivative to 0,

   ( ∵ ignoring the imaginary roots)

Putting the value of x, in the second derivative,

As, the value of f"(x) is positive, the function attains its minimum value at x=1.

So, f(1) will give the absolute minimum value of the function,

∴ The abs. minimum value of the given function is 3.

the answer is 45 i just did it on oddesy ware

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.