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Q.

If x + 4|y| = 6y , then y as a function of x is

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a

not continuous at x = 0

b

not defined for all real x

c

dydx=12 for x > 0

d

derivable at x = 0

answer is C.

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Detailed Solution

x+4|y|=6y If y>0x+4y=6yy=x2 ifx>0 and y<0x-4y=6yy=x/10  if x<0 y=x/10,x<0x/2x0 If x>0, dydx=12

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