1
GATE IN 2016
Numerical
+2
-0
Let $$\,\,f:\left[ { - 1, - } \right] \to R,\,\,$$ where $$\,f\left( x \right) = 2{x^3} - {x^4} - 10.$$ The minimum value of $$f(x)$$ is _______.
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2
GATE IN 2012
MCQ (Single Correct Answer)
+2
-0.6
The maximum value of $$f\left( x \right) = {x^3} - 9{x^2} + 24x + 5$$ in the interval $$\left[ {1,6} \right]$$ is
A
$$21$$
B
$$25$$
C
$$41$$
D
$$46$$
3
GATE IN 2008
MCQ (Single Correct Answer)
+2
-0.6
The expression $${e^{ - ln\,x}}$$ for $$x > 0$$ is equal to
A
$$-x$$
B
$$x$$
C
$${x^{ - 1}}$$
D
$$-{x^{ - 1}}$$
4
GATE IN 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the function $$\,\,y = {x^2} - 6x + 9.\,\,\,$$ The maximum value of $$y$$ obtained when $$x$$ varies over the interval $$2$$ to $$5$$ is
A
$$1$$
B
$$3$$
C
$$4$$
D
$$9$$
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