AngouriMath
SolveALogarithmicDerivativeWithASymbolicExponent(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
A quotient whose numerator is a constant multiple of its denominator's derivative,
with a symbolic exponent about:c ln(D) , the constant read off the terms.
with a symbolic exponent about:
Remarks
The general substitution answers (x^2 - 1)/(x^3 - 3x) under u = x^3 - 3x ,
where the one-level simplification of the quotient bydu/dx divides the two
polynomials; with a symbol in the exponent -- Timofeev's
(x^(n - 1) - 1)/(x^n - n x) -- the derivative is written x^n n / x - n ,
and neither that quotient nor(x^(n-1) - 1)/(n x^(n-1) - n) is anything the
simplifier reduces. So the numerator and the derivative are read term by term as
a coefficient times a power ofx , the powers of x in a term merged
into one, the terms matched by exponent, and the coefficients' quotients asked to
be one constant. https://github.com/asc-community/AngouriMath/issues/718
where the one-level simplification of the quotient by
polynomials; with a symbol in the exponent -- Timofeev's
and neither that quotient nor
simplifier reduces. So the numerator and the derivative are read term by term as
a coefficient times a power of
into one, the terms matched by exponent, and the coefficients' quotients asked to
be one constant. https://github.com/asc-community/AngouriMath/issues/718
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