ECAT Mathematics Differentiation Online Test

Photo of Danial Malik Danial MalikLast Updated: April 18, 2025

ECAT Math Differentiation

ECAT Math Differentiation Chapter Online Test

Total Questions: 50
Time Allowed: 20 Minutes
Total Marks: 50
How to Attempt Test: Please choose the right Option in MCQ-type question.
Test Helpful For: ECAT Entry Test
Mathematics Online Test
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1. d/dx [f(x)/g(x)] =

2. d/dx [f(x) + g(x) + h(x)] =

3. blank

4. blank

5. d/dx √sec2x = ?

6. f(x) - x¹⁰⁰ ⇒ f’ (1) =

7. 2√tanx d/dx √tanx =

8. blank

9. d/dx (x³ + 2) =

10. d/dx(xⁿ – 2) =

11. If f(x) = cosx, then f’ (cox⁻¹ 3x) =

12. If f(x) = tan √π, the f’ (π²) =

13. If y = cos ax then y₈₋₇

14. x d/dx (In x) =

15. blank

16. (1 + x²) d/dx = (tan⁻¹ x – cot⁻¹ x) =

17. d/dx (ax + b)ⁿ

18. d/dx = tan 3x =

19. d/dx [f(x) – g(x)] =

20. f(√x) = sin x ⇒ f’ √π =

21. dy/dx = ? if x = a(1 – t²)/2at, y = 2bt/1+t²

22. d/dx (axᵐ+bxⁿ) =

23. The point at which curve y=x² - 4x + 6 has gradient -2 is

24. If y/x = tan⁻¹ x/y, then dy/dx = ?

25. Differentiate x⁹ w.r.t x², we get


 

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Photo of Danial Malik Danial MalikLast Updated: April 18, 2025
Photo of Danial Malik

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