Continuity and DifferentiabilityHard

Question

If y = is equal to

Options

A.2 ln x . xx2
B.(2 ln x + 1). xx2
C.(2 ln x + 1) . xx2+1
D.none of these

Solution

y = xx2
y = ex2 ln x
= ex2 ln x.(2x ln x + x)
= xx2 + 1 (2 ln x + 1)

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