﻿    Then find the value of ‘a’ for which f (x) has local minimum at x = 2. : Kaysons Education

# Then Find The Value Of ‘a’ For Which f (x) Has Local Minimum At x = 2.

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## Question

### Solution

Correct option is

a ≤ –1    or    a ≥ 10

We have

(x) has local minima at x = 2.

Since, f (x) = 2x – 3 for x ≥ 2 (is strictly increasing)

(a + 1)(a – 10) ≥ 0

a ≤ –1    or    a ≥ 10.

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