(d/dx)(xx)  is equal to

1.  xx (1+log x)

2.  x.xx-1

3.  xx log x

4.  xx (1-log x)

View Answer  
4
Correct Answer :

x<sup>x</sup> (1+log x)


Explanation :
No Explanation available for this question

y = x2sin2x,then nth derivative of y (n = 4m) is

1.  24m(x2 sin 2x+x cos 2x+2 sin 2x)

2.  24m(mx2 sin 2x+x cos 2x+2m sin 2x)

3.  24m(x2 sin 2x - x cos 2x - 2m sin2x)

4.  24m(x2 sin 2x - 4mx cos 2x

View Answer  
4
Correct Answer :

2<sup>4m</sup>(x<sup>2</sup> sin 2x - 4mx cos 2x


Explanation :
No Explanation available for this question

The solution of the differential equation (dy/dx)-(2xy/(1+x2))=0 is

1.  y = A(1+x2)

2.  

3.  

4.  

View Answer  
4
Correct Answer :

y = A(1+x<sup>2</sup>)


Explanation :
No Explanation available for this question

The maximum value of f(x) = 2x3-21x2+36x+20,in the interval 0 ≤ x ≤ 2, is

1.  30

2.  32

3.  34

4.  37

View Answer  
4
Correct Answer :

37


Explanation :
No Explanation available for this question

The point of the curve y2= 4x which is the nearest to the point (2,1) is

1.  (4,4)

2.  (1,2)

3.  (9,6)

4.  (4,6)

View Answer  
4
Correct Answer :

(1,2)


Explanation :
No Explanation available for this question

The value of (127)1/3 upto 4 decimal places is

1.  5.0267

2.  5.4267

3.  5.5267

4.  5.0001

View Answer  
4
Correct Answer :

5.0267


Explanation :
No Explanation available for this question

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

1.  (exlogx/x)+c

2.  ex(1+log x)+c

3.  ex(log x)+c

4.  xexlog x+c

View Answer  
4
Correct Answer :

e<sup>x</sup>(log x)+c


Explanation :
No Explanation available for this question

1.  8/693

2.  5/693

3.  4/693

4.  10/693

View Answer  
4
Correct Answer :

8/693


Explanation :
No Explanation available for this question

The area bounded by y = 3x and y = x2 is (in sq units)

1.  10

2.  5

3.  4.5

4.  9

View Answer  
4
Correct Answer :

4.5


Explanation :
No Explanation available for this question
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