1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If xyyx = 1, then what is $\frac{dy}{dx}$ at (1, 1) equal to?
A
-1
B
0
C
1
D
4
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If y = (xx)x, then what is the value of $\frac{dy}{dx}$ at x = 1?
A
$\frac{1}{2}$
B
1
C
2
D
4
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let y = [x + 1], -4 < x < -3 where [.] is the greatest integer function. What is the derivative of y with respect to x at x = -3.5?
A
-4
B
-3.5
C
-3
D
0
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\frac{dy}{dx} = (\ln 5)y $  with y(0) = ln 5, then what is y(1) equal to?
A
0
B
5
C
2 ln 5
D
5 ln 5
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