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. x³ d/dx (In 2x) = ?

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

3. d/dx (x³ + 2) =

4. 3x + 4y + 7 = 0 ⇒ dy/dx =

5.

6.

7. d/dx (ax + b)ⁿ

8. d/dx(xⁿ – 2) =

9. If f(x) = 3 + x then

10.

11. d/dx [1/(3x + 2)³] =

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

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

14. If y = cos ax then y₈₋₇

15. d/dx [In f(x)] =

16. Differentiate x⁹ w.r.t x², we get

17. If y = 7x⁶+3x⁴-5x³+2 then which one is true

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

19. 2√tanx d/dx √tanx =

20. d/dx (axᵐ+bxⁿ) =

21. The maximum value of function f(x) = sin x cos x is

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

23. d/dx (cos⁻¹ 3x) = ?

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

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