Q31 of 354 Page 12

Find , when
y = x^x + x^1/x

Here,

y = x^x + x^1/x

y =

[ Since]

Differentiating it with respect to x using the chain rule and product rule,

Find , when

y = x^x + (sin x)^x

Find , when

y = (tan x)^{log x} + cos²

Find , when

y = x^{log x} + (log x)^x

If x¹³ y⁷ = (x + y)²⁰, prove that

Find , wheny = xx + x1/x