- #1
Sczisnad
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I am having some issues with going about finding the max and min of trig functions over a set interval. Normally with finding the max and min of a function over an interval the first thing that I do is find the derivative of that function, Then i set the derivative to 0 and solve to find the critical points. Now this is where I run into problems...
Ex. Find the Max/Min values of f on the interval [0,pi/2] f(t)=2cos(t)+sin(2t)My work:
f(t)=2cos(t)+sin(2t) "the original function"
f'(t)=2cos(2t)-2sin(t) "I found it's derivative"
0=2cos(2t)-2sin(t) "finding where f' is equal to 0"
0=cos(2t)-sin(t) "simplified"
But now what? With a normal function you get a nice x=?,?,? ...
SO how can i find the critical values for a trig function and how can I then find the Max and Min over a set interval?
Ex. Find the Max/Min values of f on the interval [0,pi/2] f(t)=2cos(t)+sin(2t)My work:
f(t)=2cos(t)+sin(2t) "the original function"
f'(t)=2cos(2t)-2sin(t) "I found it's derivative"
0=2cos(2t)-2sin(t) "finding where f' is equal to 0"
0=cos(2t)-sin(t) "simplified"
But now what? With a normal function you get a nice x=?,?,? ...
SO how can i find the critical values for a trig function and how can I then find the Max and Min over a set interval?