spain-selectividad 2023 QA.2

spain-selectividad · Other · selectividad__madrid_matematicas-II 2.5 marks Stationary points and optimisation Find absolute extrema on a closed interval or domain

Given the function $f ( x ) = \sqrt [ 3 ] { \left( x ^ { 2 } - 1 \right) ^ { 2 } }$, find:\ a) ( 0.25 points) Study whether it is even or odd.\ b) ( 0.75 points) Study its differentiability at the point $x = 1$.\ c) (1.5 points) Study its relative and absolute extrema.

Given the function $f ( x ) = \sqrt [ 3 ] { \left( x ^ { 2 } - 1 \right) ^ { 2 } }$, find:\
a) ( 0.25 points) Study whether it is even or odd.\
b) ( 0.75 points) Study its differentiability at the point $x = 1$.\
c) (1.5 points) Study its relative and absolute extrema.

Paper Questions

QA.1 QA.2 QA.3 QA.4 QB.1 QB.2 QB.3 QB.4