MHT CET202014 Oct 2020Morning ShiftMathematicsDifferentiationActual
If y 1-x² +x 1-y² =1, then d y d x =
Options
- A- 1-y² 1-x²
- B- 1-x² 1-y²
- C1+y² 1+x²
- D1-x² 1-y²
Correct answer
A. - 1-y² 1-x²
Step-by-step solution
Given y 1-x² +x 1-y² =1 Put x= and y= Given equation becomes + =1 ( + )=1 + = ⁻¹(1) ⁻¹ x+ ⁻¹ y= 2 Differentiating w.r.t. x aligned & 1 1-x² + 1 1-y² d y d x =0 & 1 1-y² d y d x =- 1 1-x² d y d x =- 1-y² 1-x² aligned