extreme values of the function
posted by Jen on .
Using analytical method, find the extreme values of the functions on the interval and where they occur.
1. f(x) = ln(x+1), 0<=x<=3
2. f(x) = sin(x+ pi/4), 0<=x<=(7pi)/4
Thanks in advance.

1. d/dx ln (x+1)+d/dx(x+1)
*remember to use the chain rule
=1/x+1 + 1
endpoints: plug in the numbers of the interval
f(0)=ln1=0
f(3)=ln(3+1)=ln4=1.386
maximum:ln4 at x=3
minimum:0 at x=0