Trigonometric curve sketching questions

May 2010
2
0
Use the function y= sin x + cos x to determine all stationary points and classify as minima or maxima?

Locate any points of inflection.
Determine endpoints of the interval and sketch the graph.

Domain is between 0 and pi.

(Thanks for your help! (Happy))
 

skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
Use the function y= sin x + cos x to determine all stationary points and classify as minima or maxima?

Locate any points of inflection.
Determine endpoints of the interval and sketch the graph.

Domain is between 0 and pi.
... have you determined y' and y'' and found their associated critical values to start an analysis of the function?
 

skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
Yep.. I'm at the sketching part...
... then you should have already plotted the function's endpoints, zeros, relative extrema, and points of inflection and are ready to "connect the dots".

on what intervals is the function increasing or decreasing?

on what intervals is the function concave up or down?