Question

Find the maximum of g(x)=1+x+x^2+x^3+x^4+x^5 on the interval [0,4] .
I have the derivative of g'(x)=5x^4+4x^3+3x^2+2x+1. What do I do next?

Answer 1

i would say since everything is positive, the bigger \(x\) is the bigger \(g(x)\) is

Answer 2

certainly wouldn't mess around with any derivatives

Answer 3

Thanks!

Answer 4

yw