Exercise calculus.differentiation.quotient
Description
Use the quotient-rule to find the derivative of a polynomial. Only remove parentheses in the numerator.
All applications
Rule | algebra.equations.linear.distr-times |
Location | [0,0,0] |
(6*D(x) (2*x^3-4)-5*x*D(x) (2*x^3-4)-(2*x^3-4)*(D(x) 6-D(x) (5*x)))/(6-5*x)^2+D(x) (4*x^2)
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0,1] |
((6-5*x)*D(x) (2*x^3-4)-2*x^3*D(x) 6+2*x^3*D(x) (5*x)+4*D(x) 6-4*D(x) (5*x))/(6-5*x)^2+D(x) (4*x^2)
ready: no
Rule | algebra.equations.quadratic.distr-square |
Location | [0,1] |
((6-5*x)*D(x) (2*x^3-4)-(2*x^3-4)*(D(x) 6-D(x) (5*x)))/(36-60*x+25*x^2)+D(x) (4*x^2)
ready: no
Rule | calculus.differentiation.deriv-of-poly |
Location | [0,0,0,1] |
((6-5*x)*6*x^2-(2*x^3-4)*(D(x) 6-D(x) (5*x)))/(6-5*x)^2+D(x) (4*x^2)
ready: no
Rule | calculus.differentiation.deriv-of-poly |
Location | [0,0,1,1,0] |
((6-5*x)*D(x) (2*x^3-4)+(2*x^3-4)*D(x) (5*x))/(6-5*x)^2+D(x) (4*x^2)
ready: no
Rule | calculus.differentiation.deriv-of-poly |
Location | [0,0,1,1,1] |
((6-5*x)*D(x) (2*x^3-4)-(2*x^3-4)*(D(x) 6-5))/(6-5*x)^2+D(x) (4*x^2)
ready: no
Rule | calculus.differentiation.deriv-of-poly |
Location | [1] |
((6-5*x)*D(x) (2*x^3-4)-(2*x^3-4)*(D(x) 6-D(x) (5*x)))/(6-5*x)^2+8*x
ready: no
Rule | calculus.differentiation.min |
Location | [0,0,0,1] |
((6-5*x)*(D(x) (2*x^3)-D(x) 4)-(2*x^3-4)*(D(x) 6-D(x) (5*x)))/(6-5*x)^2+D(x) (4*x^2)
ready: no