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.

2. d/dx √sec2x = ?

3. d/dx (cos⁻¹ 3x) = ?

4. x³ d/dx (In 2x) = ?

5. d/dx (x³ + 2) =

6. If f(x) = 3 – √x, then f’(1) =

7. f(x) - x¹⁰⁰ ⇒ f’ (1) =

8. y = xtan x/2, then (1+cosx) dy/dx – sin x =

9. If f(x) = sin x, then fᵐ (0) = ?

10. d/dx [f(x) – g(x)] =

11. 2√tanx d/dx √tanx =

12. If y = cos ax then y₈₋₇

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

14. d/dx (ax + b)ⁿ

15. d/dx(xⁿ – 2) =

16.

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

18.

19. In case of strictly decreasing function, the derivative is

20. 1/3x² d/dx (tan x³) = ?

21. d/dx [5f(x)] =

22. d/dx = tan 3x =

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

24. Differentiate x⁹ w.r.t x², we get

25. If S = 980t – 490t², the velocity at time t = 2 is


 

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

Danial Malik

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