Home › CBSE Class 12 (Commerce) › Mathematics › Continuity and Differentiability › Find y' where x^2 + xy + y^2 = 100.
Find y' where x^2 + xy + y^2 = 100.
A-(2x + y)/(x + 2y)
B(2x + y)/(x + 2y)
C-(x + 2y)/(2x + y)
D-(2x + y)/(x + y)
Answer & Solution
Correct answer: A. -(2x + y)/(x + 2y)
Differentiating gives 2x + y + x y' + 2y y' = 0, which rearranges to y' = -(2x + y)/(x + 2y).
Related questions
The identity x = e^(log x) holds only forThe function f(x) = 1/(x - 2) is discontinuous atThe greatest integer function [x] is discontinuous at which of these points?For x > 0, logarithmic differentiation shows that the derivative of x^x isIf x^2 + y^2 = 1, implicit differentiation gives dy/dx equal toLet f(x) = kx^2 for x <= 2 and f(x) = 3 for x > 2. For continuity at x = 2, the value of kA function equals (x^2 - 9)/(x - 3) for x not equal to 3 and has value k at x = 3. It is cTaking natural logs of y = [u(x)]^v(x) gives log y equal to