MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the value of ( frac{d}{dx}( frac{sec x}{cosec , x ,tan x} ))? |
| A. | 0 |
| B. | 1 |
| C. | cos u2061x |
| D. | sin u2061x |
| Answer» B. 1 | |
| 2. |
What is the value of ( frac{d}{dx}( frac{cos x}{sec x ,tan x}) )? |
| A. | -tan<sup>2</sup> u2061 x(3 sin<sup>2</sup> u2061 x cos<sup>2</sup> x) |
| B. | -cot<sup>2</sup> x(3 sin<sup>2</sup> u2061 x cos<sup>2</sup> x) |
| C. | -cot<sup>2</sup> x(3 sin<sup>2</sup> u2061 x + cos<sup>2</sup> x) |
| D. | -tan<sup>2</sup> u2061 x(3 sin<sup>2</sup> u2061 x + cos<sup>2</sup> x) |
| Answer» D. -tan<sup>2</sup> u2061 x(3 sin<sup>2</sup> u2061 x + cos<sup>2</sup> x) | |
| 3. |
What is the value of ( frac{d}{dx} )(cos2 x tan x) at x = 1? |
| A. | -1 |
| B. | 0 |
| C. | -2 |
| D. | 1 |
| Answer» E. | |
| 4. |
What is the value of ( frac{d}{dx} ) (ex tan x) at x = 0? |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 2 |
| Answer» C. -1 | |
| 5. |
What is the value of ( frac{d}{dx} )(ex sinx + ex cos x)? |
| A. | 0 |
| B. | 2 cos u2061x |
| C. | 2e<sup>x</sup>.sin u2061x |
| D. | 2e<sup>x</sup>.cos u2061 x |
| Answer» E. | |
| 6. |
The derivative of ln ex = 1. Is the statement true or false? |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
What is the value of ln ( frac{3}{x} )? |
| A. | u2061 ( frac{2}{x^3} ) |
| B. | u2061 ( frac{-3}{x^3} ) |
| C. | u2061 ( frac{-9}{x^3} ) |
| D. | u2061 ( frac{9}{x^3} ) |
| Answer» D. u2061 ( frac{9}{x^3} ) | |
| 8. |
What is the value of ( frac{d}{dx}( frac{a^x}{e^x}) )? |
| A. | ( frac{a^x (ln , u2061a-a^x)}{e^x} ) |
| B. | ( frac{a^x (ln , u2061a-e^x)}{e^x} ) |
| C. | ( frac{a^x (ln , u2061a-1)}{e^x} ) |
| D. | ( frac{a^x (ln , u2061a-1)}{(e^x)(e^x)} ) |
| Answer» D. ( frac{a^x (ln , u2061a-1)}{(e^x)(e^x)} ) | |
| 9. |
What is the value of ( frac{d}{dx} ) (sin x3 cos x2)? |
| A. | 3x<sup>2</sup> cos x<sup>2</sup> cos u2061 x<sup>3</sup> + 2x sin u2061 x<sup>3</sup> sin x<sup>2</sup> |
| B. | 3x<sup>2</sup> cos u2061 x<sup>2</sup> cos u2061 x<sup>3</sup> 2x sin u2061 x<sup>3</sup> sin x<sup>2</sup> |
| C. | 2x cos x<sup>2</sup> cos u2061 x<sup>3</sup> 2x sin u2061 x<sup>3</sup> sin x<sup>2</sup> |
| D. | 2x cos x<sup>2</sup> cos u2061 x<sup>3</sup> + 3x<sup>2</sup> sin u2061 x<sup>3</sup> sin x<sup>2</sup> |
| Answer» C. 2x cos x<sup>2</sup> cos u2061 x<sup>3</sup> 2x sin u2061 x<sup>3</sup> sin x<sup>2</sup> | |
| 10. |
What is the value of ( frac{d}{dx} ) (sin x tan x)? |
| A. | sin u2061 x + tan u2061 x sec u2061 x |
| B. | cos u2061 x + tan u2061 x sec u2061 x |
| C. | sin u2061 x + tan u2061 x |
| D. | sin u2061 x + tan u2061 x sec<sup>2</sup> u2061x |
| Answer» B. cos u2061 x + tan u2061 x sec u2061 x | |
| 11. |
Find the derivative of ex2. |
| A. | e<sup>x<sup>2</sup></sup> |
| B. | 2x |
| C. | 2e<sup>x<sup>2</sup></sup> |
| D. | 2xe<sup>x<sup>2</sup></sup> |
| Answer» E. | |