Monday, February 24, 2014

Advanced Math Solutions – Derivative Calculator, Implicit Differentiation

We’ve covered methods and rules to differentiate functions of the form y=f(x), where y is explicitly defined as a function of x (click here to review explicit differentiation).  But what if we have to derive functions that are not set this way?  If you can easily express y as a function of x, by all means do that first.  For example x²+y=1, isolate y as a function of x:  y= (1-x²) and use the derivative rules.  Let’s look at x²+y²=1,  or y=sin(3x+4y), clearly isolating y is not trivial, this is where we’ll be using implicit differentiation;  Derive the left hand side and the right hand side with respect to x, and isolate y’.  It is basically an application of the chain rule, just remember that y is not a constant, it is a function of x.


Let’s see how it works (click here):


Now let’s take a closer look how to differentiate sin(3x+4y(x)) with respect to x:


Here’s another example, only this time differentiation with respect to y (click here):


Until next time,
Michal

38 comments:

  1. This comment has been removed by the author.

    ReplyDelete
  2. WORKS REALLY GOOD. HELPED ME A LOT. COULD YOU PLEASE ADD LAPLACE TRANSFORMATION IN THESE

    ReplyDelete

  3. Thanks for sharing.I found a lot of interesting information here. A really good post, very thankful and hopeful that you will write many more posts like this one.
    https://vidmate.onl
    AnyDesk
    Lucky Patcher Download

    ReplyDelete
  4. Make sure to look here for some info on how to write good homework assignment. This kind of stuff could be really helpful.

    ReplyDelete
  5. thanks for the sharing wonderful article with us and also check the Hindi Gana

    ReplyDelete
  6. creditcard login

    creditcardlogin: A mainstream physical retail goal, and also a go-to goal for on the web and application customers — works 1,100 retail chains in 49 states

    ReplyDelete
  7. mcdvoice survey

    McDonald’s is a standout amongst other junk food eatery network on the planet. As they develop greater, they needed to think about the criticism of their administrations with consumer loyalty program
    mcdvoice survey

    ReplyDelete
  8. Thanks for sharing the wonderful article with us Domino Qiu Qiu adn Bandarq online

    ReplyDelete
  9. Thanks for sharing the wonderful article with us Laptop Games Download and I love the Play Games Download Facility

    ReplyDelete
  10. I am very happy to have come across this blog. This is because the content about Advanced Math Solutions is very nice and informative and I believe that this has caused many people to desire participating in this blog. essay writing help company

    ReplyDelete
  11. Great Article on Maths, their are very few blogs on maths. Love from Best Premium Wordpress Themes

    ReplyDelete
  12. This comment has been removed by the author.

    ReplyDelete
  13. I like this blog so much, thanks for sharing with us this valuable blog. Visit
    Rajasthan Motorcycle Tours

    ReplyDelete
  14. Thanks for sharing.I found a lot of interesting information here https://get-9apps.com/

    ReplyDelete
  15. I loved the article, buy instagram account with 10k followers keep updating interesting articles.

    ReplyDelete

  16. Thanks for this post.

    Also check out my blog.
    nigeria whatsapp group links 2018
    list of whatsapp group in nigeria
    hook up whatsapp group link in nigeria
    lagos whatsapp group link
    nigeria whatsapp dating link
    betloaded review in Nigeria
    abuja whatsapp group link
    lagos whatsapp group link 2018


    Commenting from 247 dating blog







    Music sites backlinks

    Nice track. I downloaded this from this blog but it was not complete.

    Now, am downloading it again from your site . Thanks bro. God bless you...



    Commenting from 247 dating blog






    Alexa Search Keywords Backlinks


    Thanks for this post. At least, I've learnt something good today from your blog.

    Also check out my blog.
    nigeria ashawo whatsapp group links
    hook up whatsapp group link in nigeria
    girls phone number
    girls whatsapp number

    happy Valentine day 2019

    Dating Sites in Nigeria

    Thanks.... I will check back on your blog....










    ReplyDelete

  17. Hey, thanks for posting amazing articles. These blogs would definitely help us keep posted about new trends in the market. Thansk for sharing
    One of the finest Dental Clinic in Kanpur

    ReplyDelete
  18. Tinder Apk is an online free dating service app that allows the user to find a quick match in their locality. The app is really a unique one and has created a buzz across the worldwide dating protocol.

    ReplyDelete