The directions state to find any critical numbers of the function within the interval 0 < x < 2pi. The function is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]h(x) = sin^2(x) + cos(x)[/tex]

I've already found that the derivative is:

[tex]2sin(x)cos(x) - sin(x)[/tex]

I've set that equal to zero, and that's where I'm stuck. I guess this is more of an algebra question than anything. The answer I keep getting is:

[tex]tan(x)/sin(x) = 2[/tex]

However, I don't think its correct. So any help would be greatly appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculus Problem (involes critical numbers)

**Physics Forums | Science Articles, Homework Help, Discussion**