求解一道AP微积分题!letf(x)=x*sqrt(5-x)ontheinterval[-6,4]fhasanendpointmaximumatx=?fhasanendpointminimumatx=?theabsolutemaximumvalueisandthisoccursatx=?theabsoluteminimumvalueisandthisoccursatx=?

Question

求解一道AP微积分题!
let f(x)=x*sqrt(5-x) on the interval[-6,4]
f has an end point maximum at x=?
f has an end point minimum at x=?
the absolute maximum value is and this occurs at x=?
the absolute minimum value is and this occurs at x=?

Answer 1

f has an end point maximum at x=4
f has an end point minimum at x=-6
the absolute maximum value is 10*sqrt(15)/9 and this occurs at x=10/3
the absolute maximum value is -6*sqrt(11) and this occurs at x=-6