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Differentiate it with respect to x
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x^x = t
x lnx = lnt
differentiate
lnx + 1) dx = dt/t
dt/dx = ( lnx +1) x^x
d(cos( x^x)/dx
- sin( x^x) ( lnx +1) x^x
- sin( x^x)( ln x + lne ) x^x
- sin( x^x) ( ln ( xe)) x^x
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