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Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n)...

Let `f _(n) x+ f _(n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-{0}.` where `n in N` and `g (x) = max { f_(2) (x), f _(3) (x),(1)/(2)} AA x in R - {0}`
The number of values of x for which g(x) is non-differentiable `(x in R - {0}):`

A

1

B

2

C

`sqrt2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
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VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
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