Differentiation Mathematics Questions — 18+ MCQs & PYQs | ExamTest.live

Q: How many Differentiation questions are asked in Mathematics Mock Test - 2?

ExamTest.live has 18 Differentiation questions from Mathematics Mock Test - 2, covering years 2026–2026.

Q: Are Mathematics Mock Test - 2 Differentiation questions free?

Yes, all questions including answers and detailed explanations are 100% free on ExamTest.live.

Differentiation — Mathematics Mock Test - 2(1–18 of 18)

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Q1mediummcqMathematicsMathematics Mock Test - 12026

0% accuracy

If y + sin^{- 1} (1 - x^{2}) = e^{x}, then \frac{d y}{d x} is:

Q2mediummcqMathematicsMathematics Mock Test - 12026

18% accuracy

Let f be a differentiable function defined for all x \in R such that f (x^{3}) = x^{5} for all x \neq = 0 . Then the value of \frac{df}{d x} (8) is:

Q3mediummcqMathematicsMathematics Mock Test - 102026

9% accuracy

If y = ∣ cos x - sin x ∣, then \frac{d y}{d x} at x = π /4 is:

Q4mediummcqMathematicsMathematics Mock Test - 102026

18% accuracy

If f (x) = lo g_{x} (lo g x), then f^{'} (x) at x = e is:

Q5mediummcqMathematicsMathematics Mock Test - 102026

9% accuracy

The normal to the curve 5 x^{5} - 10 x^{3} + x + 2 y + 6 = 0 at A (0, - 3) meets the curve again at two points B and C . The length of the line segment BC is:

Q6mediummcqMathematicsMathematics Mock Test - 102026

0% accuracy

A function f : R \to R satisfies the equation f (x + y) = f (x) f (y) for all x, y \in R; f (x) \neq = 0 . Suppose that the function f (x) is differentiable at x = 0 and f^{'} (0) = 2 . If f^{'} (x) = λ f (x), then the value of λ is:

Q7mediummcqMathematicsMathematics Mock Test - 102026

18% accuracy

If y = (1 + x) (1 + x^{2}) (1 + x^{4}) \dots (1 + x^{2 n}), then the value of \frac{d y}{d x} at x = 0 is:

Q8mediummcqMathematicsMathematics Mock Test - 12026

9% accuracy

Given f : R \to R, f (x) = sin (sin x) and g : R \to R, g (x) = e^{x} . The derivative of (g \circ f) (x) with respect to x is:

Q9mediummcqMathematicsMathematics Mock Test - 92026

0% accuracy

Let g (x) be the inverse of an invertible function f (x) which is differentiable at x = c, then g^{'} (f (c)) equals:

Q10mediummcqMathematicsMathematics Mock Test - 92026

0% accuracy

Let f (x) = e^{x}, g (x) = sin^{- 1} x and h (x) = f (g (x)), then \frac{h ^{'} ( x )}{h ( x )} is:

Q11mediummcqMathematicsMathematics Mock Test - 22026

0% accuracy

If y = cos (sin^{2} x), then find the value of \frac{d y}{d x} at x = π /2 .

Q12mediummcqMathematicsMathematics Mock Test - 22026

0% accuracy

If x^{e} = e^{x^{2} + y^{2}}, then find \frac{d y}{d x} .

Q13mediummcqMathematicsMathematics Mock Test - 82026

If f (1) = 1, f^{'} (1) = 3, then the derivative of f (f (f (x))) + (f (x))^{2} at x = 1 is:

Q14mediummcqMathematicsMathematics Mock Test - 82026

If cos x = \frac{1}{1 + t ^{2}} and sin y = \frac{t}{1 + t ^{2}}, then \frac{d y}{d x} =

Q15mediummcqMathematicsMathematics Mock Test - 32026

The differential coefficient of f (lo g x) when f (x) = lo g x is:

Q16mediummcqMathematicsMathematics Mock Test - 112026

If x = a (cos θ + θ sin θ) and y = a (sin θ - θ cos θ), then at θ = \frac{π}{4}, which of the following is true?

Q17mediummcqMathematicsMathematics Mock Test - 112026

Let y = f (\frac{x + e ^{x}}{e ^{x}}) satisfy f^{'} (1) = 2 . Then the value of \frac{d y}{d x} at x = 0 equals:

Q18mediummcqMathematicsMathematics Mock Test - 112026

If f (x + y) = f (x) \cdot f (y) for all x, y \in R such that f (5) = 2 and f^{'} (0) = 3, then the value of f^{'} (5) is:

Mathematics Mock Test - 2 Differentiation — FAQ

How many Differentiation questions come in Mathematics Mock Test - 2?▼

Our database has 18 Differentiation questions from Mathematics Mock Test - 2 covering 2026 to 2026.

What difficulty are Mathematics Mock Test - 2 Differentiation questions?▼

The 18 Mathematics Mock Test - 2 Differentiation questions include 0 easy, 18 medium and 0 hard level questions.

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

Visit /tag/differentiation to see all Differentiation questions across all exams including Mathematics Mock Test - 10, Mathematics Mock Test - 1, Mathematics Mock Test - 11.

Differentiation Questions

Differentiation — Mathematics Mock Test - 2(1–18 of 18)

Mathematics Mock Test - 2 Differentiation — FAQ