51
MCQ (Single Correct Answer)
The function $f(x)=\tan x-x$
A
always increases
B
always decreases
C
never increases
D
sometimes increases and sometimes decreases
52
MCQ (Single Correct Answer)
If $x$ is real, then the minimum value of $x^2-8 x+17$ is
A
$-$1
B
0
C
1
D
2
53
MCQ (Single Correct Answer)
The smallest value of polynomial $x^3-18 x^2+96 x$ in $[0,9]$ is
A
126
B
0
C
135
D
160
54
MCQ (Single Correct Answer)
The function $f(x)=2 x^3-3 x^2-12 x+4$, has
A
two points of local maximum
B
two points of local minimum
C
one maxima and one minima
D
no maxima or minima
55
MCQ (Single Correct Answer)
The maximum value of $\sin x \cdot \cos x$ is
A
$\frac{1}{4}$
B
$\frac{1}{2}$
C
$\sqrt{2}$
D
$2 \sqrt{2}$