Question

How do you find absolute min and max in calculus.

Answer 1

Absolute min and max in calculus:

For a function $f\left(x\right)$, the absolute maximum and the absolute minimum can be calculated in an interval $[a,b]$ by following the process listed below.

1. Step 1: determine all the critical numbers of f within the given interval $[a,b]$.
2. Step 2: mark each critical number from step $1$ into the function$f\left(x\right)$.
3. Step 3: mark the endpoints ($a$ and $b$) into the function $f\left(x\right)$.

Hence, The largest value can be regarded as the absolute maximum whereas the smallest value can be regarded as the absolute minimum.