Let f (x) = If f (x) is differentiable at x = 2, (p, q) =

Maths Functions, Limits, Continuity and Differentiability General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let f (x) =

If f (x) is differentiable at x = 2, (p, q) =

(8, – 5)

(– 5/2,3)

(– 10, 4)

None of these

Text Solution

Verified by Experts

The correct answer is:

 diff. at x = 2 ⇒ conti. at x = 2

∴ f(2) = f(2+) ⇒ 6 – p = 8 + 2q ⇒ p + 2q = – 2 ....(1)

Now f '(x) =

∴ f '(2+) = f '(2–) ⇒ 8 + q = 3 ⇒ q = – 5, P = 8

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