Calculus - Calculus MCQ

11:

Minimum point of the function

$\small \fn_cm f(x)=\frac{x^{3}}{x}$
is at

A.	x=1
B.	x=-1
C.	x=0
D.	x= 1/√3
	Answer Report Discuss
	Option: A Explanation : $\small \fn_cm f(x)=\frac{x^{3}}{x}$ => f'(x)= x²-1 For maximum and minimum value, f'(x) = 0 ∴ x² -1= 0 x = ± 1 Again f(x) = 2x At x = 1, f '(x) = 2 > 0 f '(x) = -2 < 0 Hence minimum at x = 1 Click on Discuss to view users comments. ishan said: (1:51am on Friday 30th September 2016) how derivative of fx =x2 -1 while fx= x3/x=x2 Write your comments here: Updating your Comments.. Updating your Comments..

12:

A.	0
B.	∞
C.	1
D.	-1
	Answer Report Discuss
	Option: A Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

13:

If f (0) = 2 and f (x) = 1 / (5-x2), then lower and upper bound of f(1) estimated by the mean value theorem are

A.	1.9,2.2
B.	2.2,2.25
C.	2.25,2.5
D.	None of these
	Answer Report Discuss
	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

14:

The unit normal to the plane 2x +y + 2z = 6 can be expressed in the vector form as

A.	i3 + j2 + k2
B.
C.
D.
	Answer Report Discuss
	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

15:

Maxima and Minima occur

A.	simultaneously
B.	once
C.	alternately
D.	rarely
	Answer Report Discuss
	Option: C Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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