We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution |
+ Link For Past Papers, Solved MCQs, Short Notes & More |
Dear Students! Share your Assignments / GDBs / Quizzes files as you receive in your LMS, So it can be discussed/solved timely. Add Discussion
How to Add New Discussion in Study Group ? Step By Step Guide Click Here.
solution
Tags:
+ How to Follow the New Added Discussions at Your Mail Address?
+ How to Join Subject Study Groups & Get Helping Material? + How to become Top Reputation, Angels, Intellectual, Featured Members & Moderators? + VU Students Reserves The Right to Delete Your Profile, If?.
+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)
+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)
ASSIGNMENT NO 1 Solution
MTH-101
Q: If Find the intervals where the given function is
Solution:
f(x)=x^{3}-27x
After Taking Derivative
f `(x)=3x^{2}-27
Function will increase if it is greater than zero
f `(x)=3x^{2}-27>0
3x^{2}-27>0
x^{2}-9>0
x^{2}>9
After taking square root
x>3
So, function increase on (3,∞)
f(x)=x^{3}-27x
Take Derivative
f `(x)=3x^{2}-27
Function will decrease when it is less than zero
f `(x)=3x^{2}-27<0
3x^{2}-27<0
x^{2}-9<0
x^{2}<9
After taking square root
x<3
So, function decrease on (- ∞, 3)
f(x)=x^{3}-27x
After Taking Derivative
f `(x)=3x^{2}-27
After taking second derivative
f ``(x)=6x
f ``(x)=6x>0
6x>0
x>0
So, it is concave up on (0,+∞)
f(x)=x^{3}-27x
After Taking Derivative
f `(x)=3x^{2}-27
After taking second derivative
f ``(x)=6x
f ``(x)=6x<0
6x<0
x<0
So, it is concave down on (- ∞,0)
POINT OF INFLECTION
f(x)=x^{3}-27x ------------------ (1)
After Taking Derivative
f `(x)=3x^{2}-27
After taking second derivative
f ``(x)=6x
f ``(x)= 6x =0
6x=0
x=0
Put this in (1)
f(0)=(0)^{3}- 27(0)
f(0)=0
So, inflection point is (0 , 0)
tnk u
Aftab gud keep it up & thanks for sharing
© 2020 Created by + M.Tariq Malik. Powered by
Promote Us | Report an Issue | Privacy Policy | Terms of Service
VU Students reserves the right to delete profile, which does not show any Activity at site nor has not activity more than 01 month.
We are user-generated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List | Moderators Group
All Members | Featured Members | Top Reputation Members | Angels Members | Intellectual Members | Criteria for Selection
Become a Team Member | Safety Guidelines for New | Site FAQ & Rules | Safety Matters | Online Safety | Rules For Blog Post