MCQOPTIONS
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MCQOPTIONS
This section includes 7 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. |
Find \(\frac{dy}{dx}\) of y = sin (ax + b). |
| A. | a.cos (ax + b) |
| B. | b.sin (ax + b) |
| C. | a.sin (ax + b) |
| D. | a.cos (ax + b) |
| Answer» B. b.sin (ax + b) | |
| 2. |
If \(y = tan^{-1}(\frac{3x-x^3}{1-3x^2}), \frac{-1}{\sqrt{3}} < x < \frac{-1}{\sqrt{3}}\) |
| A. | 3 |
| B. | \(\frac{3}{1+x}\) |
| C. | –\(\frac{3}{1+x^2}\) |
| D. | \(\frac{3}{1+x^2}\) |
| Answer» E. | |
| 3. |
Find \(\frac{dy}{dx}\) of 2x+3y = sinx. |
| A. | \(\frac{cosx-2}{3}\) |
| B. | \(\frac{cosx-2}{2}\) |
| C. | \(\frac{cosx-3}{2}\) |
| D. | \(\frac{sinx-2}{3}\) |
| Answer» B. \(\frac{cosx-2}{2}\) | |
| 4. |
Value after differentiating cos (x2+5) is ________ |
| A. | 5.sin (x2+5) |
| B. | -sin (x2+5).2x |
| C. | sin (x2+5).2x |
| D. | cos (x2+5).2x |
| Answer» C. sin (x2+5).2x | |
| 5. |
What is value of \(\frac{dy}{dx}\) if x-y = 1? |
| A. | 1 |
| B. | 2 |
| C. | -1 |
| D. | 2 |
| Answer» B. 2 | |
| 6. |
What is derivative of xn? |
| A. | n |
| B. | nxn |
| C. | nxn-1 |
| D. | nxn-2 |
| Answer» D. nxn-2 | |
| 7. |
Find the derivative of f(x) = sin(x2). |
| A. | -sin(x2) |
| B. | 2xcos(x2) |
| C. | -2xcos(x2) |
| D. | -2xsin(x2) |
| Answer» C. -2xcos(x2) | |