LimitsHard

Question

The number of points at which the function f(x) = max. {a - x, a + x, b}, - ∞ < x < ∞, 0 < a < b cannot be differentiable is:

Options

A.1
B.2
C.3
D.none of these

Solution

y = f(x) = max {a - x, a + x, b},      0 < a < b

f(x) is non-differentiable at 2 points

Create a free account to view solution

View Solution Free
Topic: Limits·Practice all Limits questions

More Limits Questions

equals-...equals-...Let f(x) = x3 - x2 + x + 1 and g(x) = , then:...If f(x) = and g(x) = then f(x) g(x) equals-...Product of sexual reproduction generally generates:...