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derivsubst-diff-display2d-false-true

display2d:false;

derivsubst:true;

eq:3*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-true

display2d:false;

derivsubst:true;

eq:3*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-true

display2d:false;

derivsubst:true;

eq:3*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-true

display2d:false;

derivsubst:true;

eq:3*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-fullratsimp-true

display2d:false;

derivsubst:true;

eq:6*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-fullratsimp-true

display2d:false;

derivsubst:true;

eq:3*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-fullratsimp-true

display2d:false;

derivsubst:true;

eq:4*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-fullratsimp-true

display2d:false;

derivsubst:true;

eq:4*diff(1/f(x), x, ...

Calculate

derivsubst-diff-display2d-false-true

display2d:false;

derivsubst:true;

3*diff(1/f(x), x, 2)/...

Calculate

derivsubst-diff-display2d-false-fullratsimp-true

display2d:false;

derivsubst:true;

eq:6*diff(1/f(x), x, ...

Calculate

derivsubst

Run Example
(%i1)display2d:false;

(%o1) false
(%i2) 
derivsubst:true;

(%o2) true
(%i3) 
3*diff(1/f(x), x, 2)/diff(1/f(x), x, 3);

(%o3) 3*(2*('diff(f(x),x,1))^2/f(x)^3-'diff(f(x),x,2)/f(x)^2)
       /(-'diff(f(x),x,3)/f(x)^2+6*'diff(f(x),x,1)*'diff(f(x),x,2)/f(x)^3
                                -6*('diff(f(x),x,1))^3/f(x)^4)
(%i4) 
subst(F3, 'diff(f(x), x, 3), %);

(%o4) "subst(F2, 'diff(f(x), x, 2), %);

subst(F1, 'diff(f(x), x, 1), %);

(%o5) "(%i6) 
subst(F, f(x), %);

(%o6) "(%i7) 
Run Example
display2d:false;

(%o1) false
(%i2) 
derivsubst:true;

(%o2) true
(%i3) 
eq:4*diff(1/f(x), x, 3)/diff(1/f(x), x, 4);

(%o3) 4*(-'diff(f(x),x,3)/f(x)^2+6*'diff(f(x),x,1)*'diff(f(x),x,2)/f(x)^3
                                -6*('diff(f(x),x,1))^3/f(x)^4)
       /(-'diff(f(x),x,4)/f(x)^2+8*'diff(f(x),x,1)*'diff(f(x),x,3)/f(x)^3
                                +6*('diff(f(x),x,2))^2/f(x)^3
                                -36*('diff(f(x),x,1))^2*'diff(f(x),x,2)/f(x)^4
                                +24*('diff(f(x),x,1))^4/f(x)^5)
(%i4) 
eq:subst(F3, 'diff(f(x), x, 3), eq);

(%o4) 4*(-F3/f(x)^2+6*'diff(f(x),x,1)*'diff(f(x),x,2)/f(x)^3
                   -6*('diff(f(x),x,1))^3/f(x)^4)
       /(-'diff(F3,x,1)/f(x)^2+8*'diff(f(x),x,1)*F3/f(x)^3
                              +6*('diff(f(x),x,2))^2/f(x)^3
                              -36*('diff(f(x),x,1))^2*'diff(f(x),x,2)/f(x)^4
                              +24*('diff(f(x),x,1))^4/f(x)^5)
(%i5) 
eq:subst(F2, 'diff(f(x), x, 2), eq);

(%o5) 4*(-F3/f(x)^2+6*'diff(f(x),x,1)*F2/f(x)^3-6*('diff(f(x),x,1))^3/f(x)^4)
       /(-'diff(F3,x,1)/f(x)^2+8*'diff(f(x),x,1)*F3/f(x)^3+6*F2^2/f(x)^3
                              -36*('diff(f(x),x,1))^2*F2/f(x)^4
                              +24*('diff(f(x),x,1))^4/f(x)^5)
(%i6) 
eq:subst(F1, 'diff(f(x), x, 1), eq);

(%o6) 4*(-F3/f(x)^2+6*F1*F2/f(x)^3-6*F1^3/f(x)^4)
       /(-'diff(F3,x,1)/f(x)^2+8*F1*F3/f(x)^3+6*F2^2/f(x)^3-36*F1^2*F2/f(x)^4
                              +24*F1^4/f(x)^5)
(%i7) 
fullratsimp(subst(F, f(x), eq));

(%o7) (4*F^3*F3-24*F^2*F1*F2+24*F*F1^3)/(F^3*'diff(F3,x,1)-8*F^2*F1*F3
                                                          -6*F^2*F2^2
                                                          +36*F*F1^2*F2
                                                          -24*F1^4)
(%i8) 
Run Example
display2d:false;

(%o1) false
(%i2) 
derivsubst:true;

(%o2) true
(%i3) 
eq:3*diff(1/f(x), x, 2)/diff(1/f(x), x, 3);

(%o3) 3*(2*('diff(f(x),x,1))^2/f(x)^3-'diff(f(x),x,2)/f(x)^2)
       /(-'diff(f(x),x,3)/f(x)^2+6*'diff(f(x),x,1)*'diff(f(x),x,2)/f(x)^3
                                -6*('diff(f(x),x,1))^3/f(x)^4)
(%i4) 
eq:subst(F3, 'diff(f(x), x, 3), eq);

(%o4) 3*(2*('diff(f(x),x,1))^2/f(x)^3-'diff(f(x),x,2)/f(x)^2)
       /(-F3/f(x)^2+6*'diff(f(x),x,1)*'diff(f(x),x,2)/f(x)^3
                   -6*('diff(f(x),x,1))^3/f(x)^4)
(%i5) 
eq:subst(F2, 'diff(f(x), x, 2), eq);

(%o5) 3*(2*('diff(f(x),x,1))^2/f(x)^3-F2/f(x)^2)
       /(-F3/f(x)^2+6*'diff(f(x),x,1)*F2/f(x)^3-6*('diff(f(x),x,1))^3/f(x)^4)
(%i6) 
eq:subst(F1, 'diff(f(x), x, 1), eq);

(%o6) 3*(2*F1^2/f(x)^3-F2/f(x)^2)/(-F3/f(x)^2+6*F1*F2/f(x)^3-6*F1^3/f(x)^4)
(%i7) 
fullratsimp(subst(F, f(x), eq));

(%o7) (3*F^2*F2-6*F*F1^2)/(F^2*F3-6*F*F1*F2+6*F1^3)
(%i8) 

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