AngouriMath
TheDerivativeBesideAFunctionOfTheBracket(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean,AngouriMath.Entity,AngouriMath.Entity,System.Collections.Generic.List{System.ValueTuple{AngouriMath.Entity,AngouriMath.Entity}},AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity)
Method (no overloads)
Summary
For SolveAsTheDerivativeOfAProductOfPowers(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean), where the brackets are not
proportional: the integrand as a constant times the candidate's derivative and what is
left, where that is the functions alone, asked as a question of its own.
sinh(Q)/x^2 - b cosh(Q)/x , for Q = a + b x + c x^2 , is
(-sinh(Q)/x)' + 2 c cosh(Q) , the error functions'.
proportional: the integrand as a constant times the candidate's derivative and what is
left, where that is the functions alone, asked as a question of its own.
Remarks
The brackets are read as polynomials in x and in the functions in them, the constant is
tried off each monomial the two share, and what is left must keep no power of x: the
powers beside the bracket are x's alone and each monomial left has the degree that
cancels it. Linearity split Rubi's 6.1.4 and 6.2.4 into two terms, neither elementary,
and spent the budget declining them. At the question asked only, not re-entered, and
checked at sampled points before it is given.
https://github.com/asc-community/AngouriMath/issues/233
tried off each monomial the two share, and what is left must keep no power of x: the
powers beside the bracket are x's alone and each monomial left has the degree that
cancels it. Linearity split Rubi's 6.1.4 and 6.2.4 into two terms, neither elementary,
and spent the budget declining them. At the question asked only, not re-entered, and
checked at sampled points before it is given.
https://github.com/asc-community/AngouriMath/issues/233
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