MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the value of \(\frac{d}{dx}(\frac{secx}{cosec\, x \,tanx}\))? |
| A. | 0 |
| B. | 1 |
| C. | cos x |
| D. | sin x |
| Answer» B. 1 | |
| 2. |
What is the value of \(\frac{d}{dx}(\frac{cosx}{secx \,tanx})\)? |
| A. | -tan2 x(3 sin2 x – cos2 x) |
| B. | -cot2 x(3 sin2 x – cos2 x) |
| C. | -cot2 x(3 sin2 x + cos2 x) |
| D. | -tan2 x(3 sin2 x + cos2 x) |
| Answer» D. -tan2 x(3 sin2 x + cos2 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 cosx |
| C. | 2ex.sin x |
| D. | 2ex.cos 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. | \(\frac{2}{x^3}\) |
| B. | \(\frac{-3}{x^3}\) |
| C. | \(\frac{-9}{x^3}\) |
| D. | \(\frac{9}{x^3}\) |
| Answer» D. \(\frac{9}{x^3}\) | |
| 8. |
What is the value of \(\frac{d}{dx}(\frac{a^x}{e^x})\)? |
| A. | \(\frac{a^x (ln \,a-a^x)}{e^x}\) |
| B. | \(\frac{a^x (ln\, a-e^x)}{e^x}\) |
| C. | \(\frac{a^x (ln\, a-1)}{e^x}\) |
| D. | \(\frac{a^x (ln\, a-1)}{(e^x)(e^x)}\) |
| Answer» D. \(\frac{a^x (ln\, a-1)}{(e^x)(e^x)}\) | |
| 9. |
What is the value of \(\frac{d}{dx}\) (sin x3 cos x2)? |
| A. | 3x2 cos x2 cos x3 + 2x sin x3 sin x2 |
| B. | 3x2 cos x2 cos x3 – 2x sin x3 sin x2 |
| C. | 2x cos x2 cos x3 – 2x sin x3 sin x2 |
| D. | 2x cos x2 cos x3 + 3x2 sin x3 sin x2 |
| Answer» C. 2x cos x2 cos x3 – 2x sin x3 sin x2 | |
| 10. |
What is the value of \(\frac{d}{dx}\) (sin x tan x)? |
| A. | sin x + tan x sec x |
| B. | cos x + tan x sec x |
| C. | sin x + tan x |
| D. | sin x + tan x sec2x |
| Answer» B. cos x + tan x sec x | |
| 11. |
Find the derivative of ex2. |
| A. | ex2 |
| B. | 2x |
| C. | 2ex2 |
| D. | 2xex2 |
| Answer» E. | |