How to find the derivative of f(x) for a basic problem?

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find the valu of local extremum for f(x)=sin x-cos x,0<x<2∏.
 
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Kind of a basic problem isn't it? Can you find the derivative of f(x)?

Looks like homework to me so I am going to move it.

I will also point out that, because there is only the single independent variable, x, there is NO "partial differentiation" here.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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