Calculus help: Finding derivative of (xy + x^3y) and relative extreema

Dec 16th, 2014
Price: $10 USD

Question description

I need help finding dy/dx of xy + x^3y first. To do this, do you use the product rule and the chain rule so for xy it would be (x*y' + y*1)*y' and then for x^3y it would be (x^3*y' + y*3x^2) y'? Then I also need to write the equation for the tangent line at each of the points where the x coordinate is 1, and what of these tangent lines are vertical. The original curve given is xy^2 - x^3y = 6. In addition to this, are the points where x = 1 relitive extreema? if not, how do you find relative extrema? 

I am sorry about the abundance of information there. I was home sick and really just want to get all this done, but am afraid I do not yet understand it very well. Thank you for all your help! I am not sure how to make this more clear, and I really do not know how this site works, or what the best way is for me to get help on this site. Thank you again for all your help!

Tutor Answer

(Top Tutor) Alonso L
School: University of Maryland

Studypool has helped 1,244,100 students

Review from student
" Totally impressed with results!! :-) "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1828 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors