Differentiation Mathematics Mock Test 1 Questions — 11+ MCQs & PYQs | ExamTest.live

Q: How many Differentiation questions are asked in Mathematics Mock Test - 10?

ExamTest.live has 11 Differentiation questions from Mathematics Mock Test - 10, covering years 2026–2026.

Q: Are Mathematics Mock Test - 10 Differentiation questions free?

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

Differentiation — Mathematics Mock Test - 10(1–11 of 11)

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Q1mediummcqMathematicsMathematics 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:

Q2mediummcqMathematicsMathematics Mock Test - 12026

0% accuracy

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

Q3mediummcqMathematicsMathematics 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:

Q4mediummcqMathematicsMathematics 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:

Q5mediummcqMathematicsMathematics 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:

Q6mediummcqMathematicsMathematics 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:

Q7mediummcqMathematicsMathematics Mock Test - 102026

18% accuracy

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

Q8mediummcqMathematicsMathematics Mock Test - 102026

9% accuracy

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

Q9mediummcqMathematicsMathematics 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?

Q10mediummcqMathematicsMathematics 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:

Q11mediummcqMathematicsMathematics 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 - 10 Differentiation — FAQ

How many Differentiation questions come in Mathematics Mock Test - 10?▼

Our database has 11 Differentiation questions from Mathematics Mock Test - 10 covering 2026 to 2026.

What difficulty are Mathematics Mock Test - 10 Differentiation questions?▼

The 11 Mathematics Mock Test - 10 Differentiation questions include 0 easy, 11 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 - 11, Physics.

Differentiation Questions

Differentiation — Mathematics Mock Test - 10(1–11 of 11)

Mathematics Mock Test - 10 Differentiation — FAQ