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. |
Differentiate x3ex with respect to x. |
| A. | 3e<sup>3x</sup> (3 log u2061x+ ( frac{1}{x} )) |
| B. | x<sup>3e<sup>3x</sup></sup>.3e<sup>3x</sup> (3 log u2061x- ( frac{1}{x} )) |
| C. | x<sup>3e<sup>3x</sup></sup> (3 log u2061x+ ( frac{1}{x} )) |
| D. | x<sup>3e<sup>3x</sup></sup>.3e<sup>3x</sup> (3 log u2061x+ ( frac{1}{x} )) |
| Answer» E. | |
| 2. |
Differentiate ( sqrt{ frac{x+1}{3x-1}} ) with respect to x. |
| A. | ( frac{-2}{(3x-1) sqrt{(3x-1)(x+1)}} ) |
| B. | ( frac{2}{(3x-1) sqrt{(3x-1)(x+1)}} ) |
| C. | ( frac{1}{(3x-1) sqrt{(3x-1)(x+1)}} ) |
| D. | ( frac{-2}{ sqrt{(3x-1)(x+1)}} ) |
| Answer» B. ( frac{2}{(3x-1) sqrt{(3x-1)(x+1)}} ) | |
| 3. |
Differentiate (3 cos x)x with respect to x. |
| A. | (3 cos u2061x)<sup>x</sup> (log u2061(3 cos u2061x)+x tan u2061x) |
| B. | (3 cos u2061x)<sup>x</sup> (log u2061(3 cos u2061x)+tan u2061x) |
| C. | (cos u2061x)^x (log u2061(3 cos u2061x)-x tan u2061x) |
| D. | (3 cos u2061x)<sup>x</sup> (log u2061(3 cos u2061x)-x tan u2061x) |
| Answer» E. | |
| 4. |
Differentiate 2(tan x)cot x with respect to x. |
| A. | 2 csc<sup>2</sup> u2061x.tan u2061x<sup>cot u2061x</sup> (1-log u2061(tan u2061x)) |
| B. | csc<sup>2</sup> u2061x.tan u2061x<sup>cot u2061x</sup> (1-log u2061(tan u2061x)) |
| C. | 2 csc<sup>2</sup> u2061x.tan u2061x<sup>cot u2061x</sup> (1+log u2061(tan u2061x)) |
| D. | 2tan u2061x<sup>cot u2061x</sup> (1-log u2061(tan u2061x)) |
| Answer» B. csc<sup>2</sup> u2061x.tan u2061x<sup>cot u2061x</sup> (1-log u2061(tan u2061x)) | |
| 5. |
Differentiate (e^{4x^5}.2x^{log x^2} ) with respect to x. |
| A. | (e^{4x^5}.x^{log u2061x^2-1} (10x^5+log u20612x^2) ) |
| B. | (4e^{4x^5}.x^{log u2061x^2-1} (10x^5+log u20612x^2) ) |
| C. | (4e^{4x^5}.x^{log u2061x^2-1} (10x^5-log u20612x^2) ) |
| D. | (x^{log u2061x^2 -1} (10x^4+log u20612x^2) ) |
| Answer» C. (4e^{4x^5}.x^{log u2061x^2-1} (10x^5-log u20612x^2) ) | |
| 6. |
Differentiate 7x(2e2x) with respect to x. |
| A. | 14e<sup>2x</sup> x<sup>(2e<sup>2x</sup>)</sup> (2 log u2061x+ ( frac{1}{x} )) |
| B. | 14x<sup>(2e<sup>2x</sup>)</sup> (2 log u2061x+ ( frac{1}{x} )) |
| C. | 14e<sup>2x</sup> x<sup>(2e<sup>2x</sup>)</sup> (2 log u2061x- ( frac{1}{x} )) |
| D. | 14e<sup>2x</sup> x<sup>(2e<sup>2x</sup>)</sup> (log u2061x- ( frac{1}{x} )) |
| Answer» B. 14x<sup>(2e<sup>2x</sup>)</sup> (2 log u2061x+ ( frac{1}{x} )) | |
| 7. |
Differentiate (cos 3x)3x with respect to x. |
| A. | (cos u20613x)<sup>x</sup> (3 log u2061(cos u20613x) 9x tan u20613x) |
| B. | (cos u20613x)<sup>3x</sup> (3 log u2061(cos u20613x) + 9x tan u20613x) |
| C. | (cos u20613x)<sup>3x</sup> (3 log u2061(cos u20613x) 9x tan u20613x) |
| D. | (cos u20613x)<sup>3x</sup> (log u2061(cos u20613x) + 9 tan u20613x) |
| Answer» D. (cos u20613x)<sup>3x</sup> (log u2061(cos u20613x) + 9 tan u20613x) | |
| 8. |
Differentiate 9tan 3x with respect to x. |
| A. | 9<sup>tan u20613x</sup> (3 log u20619 sec<sup>2 u2061</sup>x) |
| B. | 9<sup>tan u20613x</sup> (3 log u20613 sec<sup>2 u2061</sup> u2061x) |
| C. | 9<sup>tan u20613x</sup> (3 log u20619 sec u2061x) |
| D. | -9<sup>tan u20613x</sup> (3 log u20619 sec<sup>2 u2061</sup> u2061x) |
| Answer» B. 9<sup>tan u20613x</sup> (3 log u20613 sec<sup>2 u2061</sup> u2061x) | |
| 9. |
Differentiate 4xex with respect to x. |
| A. | x<sup>e<sup>x</sup></sup> e<sup>-x</sup> (x log u2061x+1) |
| B. | -4x<sup>e<sup>x</sup>-1</sup> e<sup>x</sup> (x log u2061x+1) |
| C. | 4x<sup>e<sup>x</sup></sup> e<sup>x</sup> (x log u2061x+1) |
| D. | 4x<sup>e<sup>x</sup>-1</sup> e<sup>x</sup> (x log u2061x+1) |
| Answer» E. | |
| 10. |
Differentiate (log 2x)sin 3x with respect to x. |
| A. | (3 cos u20613x log u2061(log u20612x)+ ( frac{sin u20613x}{x log u20612x} )) |
| B. | (log u20612x^{sin u20613x} ,(3 ,cos u20613x ,log u2061(log u20612x)+ frac{sin u20613x}{x ,log u20612x}) ) |
| C. | ((3 ,cos u20613x ,log u2061(log u20612x)+ frac{sin u20613x}{x log u20612x}) ) |
| D. | ( frac{3 ,cos u20613x ,log u2061(log u20612x)+ frac{sin u20613x}{x log u20612x}}{log u20612x^{sin u20613x}} ) |
| Answer» C. ((3 ,cos u20613x ,log u2061(log u20612x)+ frac{sin u20613x}{x log u20612x}) ) | |