.gif)
Home
News
Colleges
Courses
Admission
Lectures
Online Test
Past Papers
Date Sheets
Results
Study Abroad
Jobs
Tutors
More
Apps
Mathematics ECAT Pre Engineering Chapter 18 Basic Concepts & Definitions Online Test
| Sr. # | Questions | Answers Choice |
|---|---|---|
| 1 | If y = 3 x + 2cos x, then dy/dx = | 3-2 sin x 3-t sin x 3x<sup>2</sup> - 2sin x 3(1-4 sin x) |
| 2 | d/dx (cos x sin x) = | cos<sup>2</sup> x - sin<sup>2</sup> x 2cos<sup>2 </sup>x + sin<sup>2</sup> x 2cos<sup>2</sup> x - sin<sup>2</sup> x 1 - sin<sup>2 </sup>x |
| 3 | d/dx (cosec x) | -sec x tan x sin x cos x -csc x cot x 2sin x cos x |
| 4 | d / dx (cot x) = | Sec x tan x -csc<sup>2</sup> x Sec<sup>2</sup> x 1/cot<sup>2</sup> x |
| 5 | d/dx (cos x2) = | -2x cos x -2x sin x<sup>2</sup> -2x tan x -2x sec<sup>2</sup> x |
| 6 | d/dx [tan2 x] | 2tan x sec<sup>2</sup> x 2tan x sec x 2 cot x tan x 2sec<sup>2</sup> x cos<sup>2</sup> x |
| 7 | Differentiation of sin x w.r.t. cot x is: | -sin<sup>2</sup> x sec x -cos x sin<sup>2</sup> x -cos<sup>2</sup> x tan x -sin<sup>2</sup> x |
| 8 | If∱(x) = 1/x-2 then∱1(0) equals: | -1/4 -3/2 -1/2 1/5 |
| 9 | If∱(x) = c then∱1 (x0 equals: | 1 0 cx c |
| 10 | If ∱(x) = x2/3then∱1(x) at x = 8 equals: | 8 1/8 1/3 2/3 |
| 11 | The derivative of√x at x =a is: | 1/2a 2 / √a 2√x 1 / 2√x |
| 12 | If∱(x) = 2x3 + 1 then∱1(0) = | 0 1 6 None of these |
| 13 | If x =1 -t2 and y =3t2 - 2t3 then dy/dx = | (1-t) 3(1+t) 3(t-1) 3/1-t |
| 14 | If x = at2 and y = 2at then dy/dx = | 2a/y y/2a -a/2y -2y/a |
| 15 | If x2 + y2 = 1, then dy/dx | y/x -x/y 1/x None of these |
| 16 | If 3x + 4y +7 = 0 , then dy / dx = | <div>-1/2</div> -4/3 7/2 -3/4 |
| 17 | If y = (7x + 9)2, then dy/dx equals: | 98x +126 14x 14x +18 14x+81 |
| 18 | ∱(x) = ax2-3x -5, and∱1 (2) = 9, a is equal to | 2 3 -2 4 |
| 19 | If c is a constant, then d/dx (c) = | 0 c cx 1 |
| 20 | If∱(x) = x-100the value of∱1 (1) is: | 100 -100 0 -101 |
| 21 | The derivative of 1/xm is: | x<sup>m+1</sup>/ m m(x)<sup>m-1</sup> (m-1) x<sup>-m</sup> m/x<sup>m+1</sup> |
| 22 | If∱(x) = x5 + x3 + x the value of∱1(1) is: | 0 8 5 9 |
| 23 | If y=xmthen dy/dx equals: | mx x/m mx<sup>m-1</sup> xm<sup>m-1</sup> |
| 24 | d/dx(x3 + 2x +3)= | x<sup>2 </sup>+ 2 3x + 2 3x<sup>2 </sup>+ 5 3x2 + 2 |
| 25 | If y = 1/x2 then dy/dx equals: | -2x x<sup>-3</sup> -2/x<sup>3</sup> -2x<sup>3</sup> |
| 26 | if y=x2 then dy/dx equals: | 2x x/2 2x<sup>3</sup> x<sup>3</sup>/2 |
| 27 | If f(x) = c then∱1(x) equals: | 1 0 cx c |
| 28 | If y = xnthen dy/dx equals: | nx x<sup>n-1</sup> nx<sup>n-1</sup> n |
| 29 | if x∈ D∱ and∱1(x) exists, then∱ is said to be | zero at x Differentiable at x Continuous at x None of these |
| 30 | Let∫ be real valued function continuous in the interval (x,x1)⊆ D∫ (the domain of∫), then∱(x1) -∱ (x)/x1-x represents: |
Instantaneous rate Average rate of change Differential coefficient None of these |
