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

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jimit shah
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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.