Continuity and DifferentiabilityHard
Question
If 2x + 2y = 2x + y , then 
is equal to
is equal toOptions
A.
B.
C.1 - 2y
D.
Solution
2x + 2y = 2x + y ... (i)
diff. both sides w.r.t.x
2x. ln2 + 2y . ln2
= 2x+y . ln2 
2x - 2x + y = (2x + y - 2y)
.... (ii)
from (i) & (ii)
2x - 2x - 2y = (2x + 2y - 2y)
⇒
= 1 - 2y
diff. both sides w.r.t.x
2x. ln2 + 2y . ln2
= 2x+y . ln2 2x - 2x + y = (2x + y - 2y)
.... (ii)from (i) & (ii)
2x - 2x - 2y = (2x + 2y - 2y)
⇒
= 1 - 2yCreate a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
Let $f(x)$ be a continuous and twice differentiable even function on $\mathbb{R}$. If $f(4) = -4$, $f(-2) = 4$, $f(0) = ...If y1/m = x + , then (1 + x2) + x equals -...The number of points where f(x) = [sin x + cos x] (where [ ] denotes the greatest integer function), x ∈ (0, 2`...If xy = ey, then dy/dx equals-...If x = f (m) cos m − f′ (m) sin m and y = f (m) sin m + f′ (m) cos m, thenequals-...