1
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

The function $f(x)=\frac{x}{2}+\frac{2}{x}$ has a local minima at $x$ equal to

A
2
B
1
C
0
D
$-$2
2
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

Given a curve $y=7 x-x^3$ and $x$ increases at the rate of 2 units per second. The rate at which the slope of the curve is changing, when $x=5$ is

A
$-60$ units/s
B
$60$ units $/ \mathrm{s}$
C
$- 70$ units/s
D
$-140$ units $/ \mathrm{s}$
3
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

The derivative of $$x^{2 x}$$ w.r.t. $$x$$ is:

A
$$x^{2 x-1}$$
B
$$2 x^{2 x} \log x$$
C
$$2 x^{2 x}(1+\log x)$$
D
$$2 x^{2 x}(1-\log x)$$
4
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

The interval in which the function $$f(x)=2 x^3+9 x^2 +12 x-1$$ is decreasing is :

A
$$(-1, \infty)$$
B
$$(-2,-1)$$
C
$$(-\infty,-2)$$
D
$$(-1,1)$$
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