Hello,

I need some help to see if this function is diffentiable at [tex]x_{0}=\frac{\pi}{4}[/tex]

the function is f(x)=|sin(x)-cos(x)|

To do that, you have to find the limit of [tex]\frac{f(x)-f(x_{0})}{x-x_{0}}[/tex] as x-> pi/4

So I get [tex]\frac{sin(x)-cos(x)}{x-\frac{\pi}{4}}[/tex]but I don't know what to do after...any help or hints would be appreciated

Thanks

I need some help to see if this function is diffentiable at [tex]x_{0}=\frac{\pi}{4}[/tex]

the function is f(x)=|sin(x)-cos(x)|

To do that, you have to find the limit of [tex]\frac{f(x)-f(x_{0})}{x-x_{0}}[/tex] as x-> pi/4

So I get [tex]\frac{sin(x)-cos(x)}{x-\frac{\pi}{4}}[/tex]but I don't know what to do after...any help or hints would be appreciated

Thanks

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