MCQOPTIONS
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MCQOPTIONS
This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Partial Differentiation knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the derivative of z=3x*logx+5x6 ex with respect to x? |
| A. | 3+30x<sup>5</sup> e<sup>x</sup> |
| B. | 3+5x<sup>6</sup> e<sup>x</sup>+30x<sup>5</sup> e<sup>x</sup> |
| C. | 3+5x<sup>6</sup> e<sup>x</sup> |
| D. | 3+3logx+5x<sup>6</sup> e<sup>x</sup>+30x<sup>5</sup> e<sup>x</sup> |
| Answer» E. | |
| 2. |
The division rule of differentiation for two functions is given by, (( frac{f(x)}{g(x)}) = frac{f'(x)-g (x)}{(g(x))^2}. ) |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
Which of the following trigonometric function derivatives is correct? |
| A. | ( frac{d(sinx)}{dx}=-cosx ) |
| B. | ( frac{d(secx)}{dx}=tanx ) |
| C. | ( frac{d(tanx)}{dx}=sec^2 x ) |
| D. | ( frac{d(cosx)}{dx}=sinx ) |
| Answer» D. ( frac{d(cosx)}{dx}=sinx ) | |
| 4. |
What is the maximum area of the rectangle with perimeter 500 mm? |
| A. | 15,625 mm<sup>2</sup> |
| B. | 15,025 mm<sup>2</sup> |
| C. | 15,600 mm<sup>2</sup> |
| D. | 10,625 mm<sup>2</sup> |
| Answer» B. 15,025 mm<sup>2</sup> | |
| 5. |
Find the range in which the function f(x) = 8 + 40x3 5x4 4x5 is increasing. |
| A. | 2<z<0, 0<z<3 |
| B. | 1<z<0, 0<z<2 |
| C. | 3<z<0, 0<z<2 |
| D. | 3<z<0, 0<z<4 |
| Answer» D. 3<z<0, 0<z<4 | |
| 6. |
What is the derivative of (7 sqrt[3]{x}- frac{3}{x^4}+5x ) with respect x? |
| A. | (7x^{ frac{-1}{3}}-3x^{-5}+5 ) |
| B. | (7x^{ frac{-2}{3}}-3x^{-5}+5 ) |
| C. | (7x^{ frac{-2}{3}}-3x^{-3}+5 ) |
| D. | (7x^{ frac{-1}{3}}-3x^{-3}+5 ) |
| Answer» C. (7x^{ frac{-2}{3}}-3x^{-3}+5 ) | |
| 7. |
The total derivative is the same as the derivative of the function. |
| A. | True |
| B. | False |
| Answer» B. False | |