# Second derivative implicit differentiation using Wolfram Alpha input?

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): *****P.S. Cross posted to community.wolfram.com/groups/-/m/t/283665?p_p_auth=kD3FBYSv ***

• fyi, cross posted community.wolfram.com/groups/-/m/t/283665?p_p_auth=kD3FBYSv 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
• If you're using Mathematica, why do this on W|A? – Michael E2 Feb 24 '18 at 1:12
• @MichaelE2, the answer to your question is in my original post. – WXB13 Mar 18 '18 at 23:46
• OK, that's what I thought, but "Some kinds of questions are considered off-topic: Questions on Wolfram Alpha..." (mathematica.stackexchange.com/help/on-topic). This does not seem to be a question on using Mathematica, either to access W|A or to process its results. – Michael E2 Mar 19 '18 at 1:27

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 • 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