If y(x) = (xˣ)ˣ, x > 0, then d²x d y² + 20 at x = 1 is equal to _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q34

JEE Main 202227 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

y(x) = {\left( {{x^x}} \right)^x},\,x > 0

, then

{{{d^2}x} \over {d{y^2}}} + 20

at x = 1 is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 27 Jun, Evening shift · Q34

JEE Main 202227 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

y(x) = {\left( {{x^x}} \right)^x},\,x > 0

, then

{{{d^2}x} \over {d{y^2}}} + 20

at x = 1 is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.