The derivative of the given function
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Step-by-step explanation:
y = tan(x)^x
Take log both sides
log y = log(tan(x)^x)
log y = x . log(tanx)
differentiate with respect to x
1/y * dy/dx = log(tanx) + x (1/tanx) * sec²x
dy/dx = (tanx)^x [log(tanx) + (xsec²x)/tanx]
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