ECAT Mathematics Differentiation Online Test

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. If y/x = tan⁻¹ x/y, then dy/dx = ?

2.

3. d/dx (ax + b)ⁿ

4. d/dx In (In(In x)) = ?

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

6. If f(x) = tan √π, the f’ (π²) =

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

8.

9. d/dx √sec2x = ?

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

11. d/dx = (secx) =

12.

13. 1/3x² d/dx (tan x³) = ?

14. 2√tanx d/dx √tanx =

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

16. f(√x) = sin x ⇒ f’ √π =

17. d/dx (axᵐ+bxⁿ) =

18. d/dx = tan 3x =

19.

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

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

22. x³ d/dx (In 2x) = ?

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

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

25. If f(x) = sin x, then fᵐ (0) = ?


 

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