Mathematica Stack Exchange is a question and answer site for users of Mathematica. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

How would you perform second derivative implicit differentiation using Wolfram Alpha input? The reason that I'm using WA input is that it gives you step-by-step solutions and I'm a first year calculus student trying to figure things out.

I've tried all of the obvious queries that I can think of without getting the desired results. If I type just the equation in it will give the results I'm seeking but without the step-by-step solution since it is not the primary output for the query.

Here's an example of the results I get from just entering the equation x^2 + xy = 5 (w/desired result circled):

equation results

***P.S. Cross posted to *

share|improve this question
fyi, cross posted please mention this in your question on both sites so not to waste people time duplicating answers and efforts. – Nasser Jun 27 '14 at 16:57
Done. Thanks for mentioning that. – WXB13 Jun 27 '14 at 20:33
D[x^2 + x y[x] == 5, {x, 1}]
sol1 = Solve[%, y'[x]]
D[x^2 + x y[x] == 5, {x, 2}]
sol2 = Solve[%, y''[x]]
sol2 /. sol1 // Simplify

enter image description here

share|improve this answer
Thanks but Wolfram Alpha doesn't recognize that and entering it as Mathematica input doesn't give me the step-by-step solution that I'm seeking. – WXB13 Jun 27 '14 at 15:35
@GaryWhite I think my answer is a step by step solution for this example,if you learn something in your calculus class. – Apple Jun 27 '14 at 15:38
Yes, I see that and I do appreciate your help. Unfortunately, this is still not what I'm looking for. The Wolfram Alpha step-by-step solutions are more granular and come with text explaining each step. – WXB13 Jun 27 '14 at 15:57
@Gary If you want the most "granular" thing: Stay with Wolfram Alpha (although I think that your question received a nice answer). – eldo Jun 27 '14 at 20:52

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.