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Taking derivative of a solution

Hi, is there a way to take a derivative of a solution of equations?

For example,

var('p, alpha, beta, q, A, B, J, K') h=solve([p==alpha+2betaq, A-Bp==Jq, pq-K-alphaq-beta*q^2==0],p,q,J)

in the solution expressions for p,q,J, can I take a partial derivative of each with respect to A by adding some kind of an expression? Also, is there a effective way to simplify the results that I get for p,q,J?

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updated 2011-11-18 02:16:44 -0500

kcrisman gravatar image

Taking derivative of a solution

Hi, is there a way to take a derivative of a solution of equations?

For example,

var('p, alpha, beta, q, A, B, J, K')
h=solve([p==alpha+2betaq, A-Bp==Jq, pq-K-alphaq-beta*q^2==0],p,q,J)

h=solve([p==alpha+2*beta*q, A-B*p==J*q, p*q-K-alpha*q-beta*q^2==0],p,q,J)

in the solution expressions for p,q,J, p,q,J, can I take a partial derivative of each with respect to A A by adding some kind of an expression? Also, is there a effective way to simplify the results that I get for p,q,J?p,q,J?

Taking derivative of a solution

Hi, is there a way to take a derivative of a solution of equations?

For example,

var('p, alpha, beta, q, A, B, J, K')
h=solve([p==alpha+2*beta*q, A-B*p==J*q, p*q-K-alpha*q-beta*q^2==0],p,q,J)

in the solution expressions for p,q,J, can I take a partial derivative of each with respect to A by adding some kind of an expression? Also, is there a effective way to simplify the results that I get for p,q,J?