NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

If x + y + y - x = 2 , then the value of d 2 y d x 2 is equal to

Correct answer

0.5

Step-by-step solution

Given: x + y + y - x = 2 ... (i) ⇒ y + x - y - x x + y - y - x = 2 ⇒ y + x - y - x = x ... (ii) By adding Eq. (i) and (ii), we get 2 y + x = 2 + x ⇒ 4 y + x = 4 + x 2 + 4 x ∴ 4 d y d x = 2 x ∴ d 2 y d x 2 = 1 2

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