1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = {\left( {{1 \over x}} \right)^{2{x^2}}}$$, where x > 0.
At what value of x does the function attain maximum value?
A
e
B
$$\sqrt e $$
C
$${1 \over {\sqrt e }}$$
D
$${1 \over e}$$
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = {\left( {{1 \over x}} \right)^{2{x^2}}}$$, where x > 0.
The maximum value of the function is
A
e
B
$${e^{{2 \over e}}}$$
C
$${e^{{1 \over e}}}$$
D
$${1 \over e}$$
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = - 2{x^3} - 9{x^2} - 12x + 1$$
The function f(x) is an increasing function in the interval
A
($$-$$2, $$-$$1)
B
($$-$$ $$\infty$$, $$-$$2)
C
($$-$$1, 2)
D
($$-$$1, $$\infty$$)
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = - 2{x^3} - 9{x^2} - 12x + 1$$
The function f(x) is a decreasing function in the interval
A
($$-$$2, $$-$$1)
B
($$-$$ $$\infty$$, $$-$$2)
C
($$-$$1, $$\infty$$)
D
($$-$$ $$\infty$$, $$-$$2) $$\cup$$ ($$-$$ 1, $$\infty$$)
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