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.
The maximum value of the function is
A
e
B
$${e^{{2 \over e}}}$$
C
$${e^{{1 \over e}}}$$
D
$${1 \over e}$$
2
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, $$\infty$$)
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 a decreasing function in the interval
A
($$-$$2, $$-$$1)
B
($$-$$ $$\infty$$, $$-$$2)
C
($$-$$1, $$\infty$$)
D
($$-$$ $$\infty$$, $$-$$2) $$\cup$$ ($$-$$ 1, $$\infty$$)
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following statements is correct in respect of the function f(x) = x3 sin x?
A
It has local maximum at x = 0
B
It has local minimum at x = 0
C
It has neither maximum nor minimum at x = 0
D
It has maximum value 1
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