I need help with a calculus assignment

label Calculus
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

1) f(x)= 2x+(4/x)

find the open intervals on which f is increasing and decreasing, then determine the relative max and min occurring at x

2) f(x)=(x+5)(x-1)^2

Find the critical value(s)

use the second derivative test to find s-coordinates of all local maximum and minimum

3) f(x)= (x^2-6)e^x

find inflection points

find the intervals on which the given function is concave up or down.

thank you

Nov 27th, 2015

Thank you for the opportunity to help you with your question!

1) let a=sqrt(2)

increasing (a,inf),(-inf,-a)

Decreasing (-a,0),(0,a)

Relative max= -a, min =a


Critical points 1,-3.

1= min, -3= max


Point of inflection 2(a-1)

Concave (-inf, 2(a-1)), convex(2(a-1), inf)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 27th, 2015

One correction in 3 question.

Points so inflection are -2(a+1) and 2(a-1).

It's convex in (-inf, -2(a+1)) and (2(a-1), inf)

Concave in (-2(a+1), 2(a-1))

Nov 27th, 2015

i tried to do by myself 2 question I can not find it

Nov 28th, 2015

Find first derivative and put it equal to zero. You will find two roots which will be critical points. Then differentiate again and use the roots to find if its local minima or maxima

Nov 28th, 2015

I need to find X, linear algebra matrix.

Sep 21st, 2016

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
Nov 27th, 2015
Nov 27th, 2015
Oct 23rd, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer