DifferentiationHard

Question

Let g(x) = ; 0 < x < 2, m and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative of |x - 1| at x = 1. If g(x) = p, then

Options

A.n = 1, m = 1
B.n = 1, m = - 1
C.n = 2, m = 2
D.n > 2, m = n

Solution

         
From graph, p = - 1
g(x) = - 1
g(1 + h) = - 1
= - 1
= - 1, which holds if n = m = 2.

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