1
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

The maximum slope of the curve $$y=\frac{1}{2} x^4-5 x^3+18 x^2-19 x$$ occurs at the point

A
$$(2,2)$$
B
$$(0,0)$$
C
$$(2,9)$$
D
$$\left(3, \frac{21}{2}\right)$$
2
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The interval in which the function $$f(x)=\sin x-\cos x, 0 \leq x \leq 2 \pi$$ is strictly decreasing, is

A
$$0 < x < \frac{3 \pi}{4}$$
B
$$\frac{7 \pi}{4} < x <2 \pi$$
C
$$\frac{3 \pi}{4} < x <\frac{7 \pi}{4}$$
D
$$0 < x < \frac{7 \pi}{4}$$
3
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The slope of normal to the curve $$y=x^3+2 x+6$$ which is parallel to line $$x+14 y+4=0$$ is

A
$$-\frac{1}{3}$$
B
$$-\frac{1}{14}$$
C
$$-4$$
D
$$-\frac{1}{2}$$
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