Continuity and DifferentiabilityHard
Question
If x 
= 0, then 
is equal to
= 0, then is equal toOptions
A.
B.
C.
D.
Solution
x 
= 0
x2 (1 + y) = y2 (1 + x)
x2 - y2 + x2y - y2x = 0
(x + y) (x - y) + xy (x - y) = 0
(x - y) (x + y + xy) = 0
∵ x ≠ y ⇒ y = -
⇒
= 0x2 (1 + y) = y2 (1 + x)
x2 - y2 + x2y - y2x = 0
(x + y) (x - y) + xy (x - y) = 0
(x - y) (x + y + xy) = 0
∵ x ≠ y ⇒ y = -
⇒
Create a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
If f(4) = g(4) = 2 ; f′(4) = 9 ; g′(4) = 6 then is equal to -...The number of points in the interval (0,2) where the derivative of the function f(x) = |x − 1/2| + |x − 1| +...d/dx equals-...d/dx [sinh−1x]x equals -...If ƒ(x) = |x2 − 5x + 6|, then ƒ′(x) is equals to-...