MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the second order derivative if y=e2x2. |
| A. | 4e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+3) |
| B. | 4e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>-1) |
| C. | 4e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+1) |
| D. | e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+1) |
| Answer» D. e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+1) | |
| 2. |
Find the second order derivative of y=3x2 1 + log (4x) |
| A. | 3+ ( frac{1}{x^2} ) |
| B. | 3- ( frac{1}{x^2} ) |
| C. | 6- ( frac{1}{x^2} ) |
| D. | 6+ ( frac{1}{x^2} ) |
| Answer» D. 6+ ( frac{1}{x^2} ) | |
| 3. |
Find the second order derivative y=e2x+sin-1 ex . |
| A. | e<sup>2x</sup>+ ( frac{e^x}{(1-e^2x)^{3/2}} ) |
| B. | 4e<sup>2x</sup>+ ( frac{1}{(1-e^2x)^{3/2}} ) |
| C. | 4e<sup>2x</sup> ( frac{e^x}{(1-e^2x)^{3/2}} ) |
| D. | 4e<sup>2x</sup>+ ( frac{e^x}{(1-e^2x)^{3/2}} ) |
| Answer» E. | |
| 4. |
Find ( frac{d^2 y}{dx^2} )-6 ( frac{dy}{dx} ) if y=4x4+2x. |
| A. | ((4x^2+8x-1) ) |
| B. | (12(4x^2+8x-1) ) |
| C. | (12(4x^2+8x-1) ) |
| D. | (12(4x^2-8x-1) ) |
| Answer» E. | |
| 5. |
If y=log (2x3), find ( frac{d^2 y}{dx^2} ). |
| A. | ( frac{2}{x^2} ) |
| B. | ( frac{3}{x^2} ) |
| C. | ( frac{2}{x^2} ) |
| D. | ( frac{3}{x^2} ) |
| Answer» E. | |
| 6. |
Find ( frac{d^2 y}{dx^2} ), if y=2 sin-1 (cos x). |
| A. | 0 |
| B. | sin<sup>-1</sup> (( frac{1}{cos u2061x}) ) |
| C. | 1 |
| D. | -1 |
| Answer» B. sin<sup>-1</sup> (( frac{1}{cos u2061x}) ) | |
| 7. |
Find the second order derivative of y=2e2x-3 log (2x-3). |
| A. | 8e<sup>2x</sup>+ ( frac{1}{(2x-3)^2} ) |
| B. | 8e<sup>2x</sup> ( frac{12}{(2x-3)^2} ) |
| C. | e<sup>2x</sup>+ ( frac{12}{(2x-3)^2} ) |
| D. | 8e<sup>2x</sup>+ ( frac{12}{(2x-3)^2} ) |
| Answer» E. | |
| 8. |
If y=6x2+3, then ( left ( frac{dy}{dx} right )^2= frac{d^2 y}{dx^2} ). |
| A. | True |
| B. | False |
| Answer» C. | |
| 9. |
Find ( frac{d^2y}{dx^2} ), if y=tan2 x+3 tan x. |
| A. | sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x+3) |
| B. | 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x-sec u2061x+3) |
| C. | 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x+3) |
| D. | 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x-3) |
| Answer» D. 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x-3) | |
| 10. |
Find the second order derivative of y=9 log t3. |
| A. | ( frac{27}{t^2} ) |
| B. | ( frac{27}{t^2} ) |
| C. | ( frac{1}{t^2} ) |
| D. | ( frac{27}{2t^2} ) |
| Answer» C. ( frac{1}{t^2} ) | |