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Let y be an implicit function of x defi...

Let y be an implicit function of x defined by `x^(2x)-2x^(x) cot y-1=0`. Then y' (1) equals

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at x= 1`1-2 xx1 cot y - 1 = 0`
`cot y =(1-1)/-2 = 0`
`y= pi/2`
`y = x^(2x) `
`ln y = 2x ln x `
`d(v v )/dx = v (dv)/dx + v (dv)/dx`
so,`1/y dy/dx = 2 ln x + 2`
`dy/dx= 2y(ln x+1) `
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