DifferentiationHard

Question

If 2x + 2y = 2x + y , then is equal to

Options

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

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