What is the difficulty level of Differentiability questions in AIEEE?

AIEEE Differentiability questions include 0 easy, 8 medium, and 0 hard questions on ExamTest.live.

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ExamTest.live has 8 Differentiability questions from AIEEE, covering years 2026–2026.

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Q1mediummcqMathematicsAIEEE 20062026

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The set of points where f (x) = \frac{x}{1 + ∣ x ∣} is differentiable is:

Q2mediummcqMathematicsAIEEE 20072026

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Let f : R \to R be a function defined by f (x) = min {x + 1, ∣ x ∣ + 1} . Then which of the following is true?

Q3mediummcqMathematicsAIEEE2026

Suppose f (x) is differentiable at x = 1 and lim_{h \to 0} \frac{f ( 1 + h )}{h} = 5, then f^{'} (1) equals:

Q4mediummcqMathematicsAIEEE2026

If f is a real-valued differentiable function satisfying ∣ f (x) - f (y) ∣ \leq (x - y)^{2} for x, y \in R and f (0) = 0, then f (1) equals:

Q5mediummcqMathematicsAIEEE-CBSE-ENG-032026

If f (x) = {x e^{- (\frac{1}{∣ x ∣} + \frac{1}{x})}, 0, x \neq = 0 x = 0 then f (x) is:

Q6mediummcqMathematicsAIEEE2026

Let f (x) = {(x - 1) sin (\frac{1}{x - 1}) 0 if x \neq = 1 if x = 1 . Then which one of the following is true?

Q7mediummcqMathematicsAIEEE 20092026

1: g \circ f is differentiable at x = 0 and its derivative is continuous at that point, where f (x) = x ∣ x ∣ and g (x) = sin x . 2: g \circ f is twice differentiable at x = 0 .

Q8mediummcqMathematicsAIEEE 20122026

Consider the function f (x) = ∣ x - 2∣ + ∣ x - 5∣, x \in R .Statement 1: f^{'} (4) = 0 Statement 2: f is continuous in [2, 5], differentiable in (2, 5) and f (2) = f (5) .

How many Differentiability questions come in AIEEE?▼

Our database has 8 Differentiability questions from AIEEE covering 2026 to 2026.

What difficulty are AIEEE Differentiability questions?▼

The 8 AIEEE Differentiability questions include 0 easy, 8 medium and 0 hard level questions.

Where can I find more Differentiability questions for other exams?▼

Visit /tag/differentiability to see all Differentiability questions across all exams including AIEEE 2007, AIEEE 2009, Mathematics Mock Test - 2.