Use implicit differentiation to find an equation of the tangent line to the curve. x^5y^5=32, tangent at (2,1)

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Use implicit differentiation to find an equation of the tangent line to the curve. x^5y^5=32, tangent at (2,1)

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

know product rule, power rule, constant rule, and chain rule?
or if you want to make this really easy take the 5th root of both sides
  • rvc
if you know all the three rules mentioned by freckles then you can easily solve it :)

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

  • rvc
if you take the fifth root the equation would be : xy=2
  • rvc
slope : \(\Large \frac{dy}{dx}\)
Can one of you walk me through this ? Step by step ?
  • rvc
equation of tangent : \[\rm y-y_{1}=\frac{ dy }{ dx }(x-x_{1})\]
What about the derivative ?
you need to apply the rules (or at least some) to differentiate xy=2
xy is a product so you would use the product rule to differentiate xy
2 is a constant the constant rule says derivative of a constant is 0
(xy)'=0 can you apply the product rule to find (xy)'
  • rvc
you can go through this : Basic Derivatives http://openstudy.com/study#/updates/5550950fe4b061b8579d7c1d
What about the derivative ?
to differentiate is to find the derivative
(xy)' means find the derivative of the product of x and y
do you know how to find the derivative of the product of x and y
do you know the product rule?
actually if you don't know the product rule @rvc has posted for you in that link
Yes I know the product rule ..
so apply the product rule to find (xy)'
  • rvc
yep :) you may have a look at that
  • rvc
good then go for it apply the product rule
Okay thank you !
  • rvc
All the best

Not the answer you are looking for?

Search for more explanations.

Ask your own question