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1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$y = {\cos ^ - }\left( {{{2x} \over {1 + {x^2}}}} \right)$$, then $${{dy} \over {dx}}$$ is equal to
A
$$ - {2 \over {1 + {x^2}}}$$ for all | x | < 1
B
$$ - {2 \over {1 + {x^2}}}$$ for all | x | > 1
C
$${2 \over {1 + {x^2}}}$$ for all | x | < 1
D
None of the above
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $${{{d^2}x} \over {d{y^2}}}$$ equal to ?
A
$$ - {\left( {{{{d^2}y} \over {d{x^2}}}} \right)^{ - 1}}{\left( {{{dy} \over {dx}}} \right)^{ - 3}}$$
B
$${\left( {{{{d^2}y} \over {d{x^2}}}} \right)^{ - 1}}{\left( {{{dy} \over {dx}}} \right)^{ - 2}}$$
C
$$ - \left( {{{{d^2}y} \over {d{x^2}}}} \right){\left( {{{dy} \over {dx}}} \right)^{ - 3}}$$
D
$${\left( {{{{d^2}y} \over {d{x^2}}}} \right)^{ - 1}}$$
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the derivative of $${\log _{10}}(5{x^2} + 3)$$ with respect to x ?
A
$${{x{{\log }_{10}}e} \over {5{x^2} + 3}}$$
B
$${{2x{{\log }_{10}}e} \over {5{x^2} + 3}}$$
C
$${{10x{{\log }_{10}}e} \over {5{x^2} + 3}}$$
D
$${{x{{\log }_e}10} \over {5{x^2} + 3}}$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Suppose the function f(x) = xn, n $$\ne$$ 0 is differentiable for all x. Then n can be any element of the interval
A
[1, $$\infty$$)
B
(0, $$\infty$$)
C
$$\left( {{1 \over 2},\infty } \right)$$
D
None of these
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