How do you take derivative of complex polynomial

[MarkannaJessie]

Doing homework of problems like

(7 times X squared) devided by (3 times X cubed plus 4 times X)

I have several of these to do and no book to look them up in.

Thanks for any help.

 

[tkhunny]

(7 times X squared) devided by (3 times X cubed plus 4 times X)

7x^2/(3x^3 + 4x)

Factor the denominator 3x^3 + 4x = x(3x^2+4)

7x^2/x(3x^2+4) = 7x/(3x^2+4)

 

[stapel]

To take the derivative (according to your subject line, though not your post) of a rational expression, apply the Quotient Rule.

Eliz.

 

[tkhunny]

Plus, I think you mean "complicated" polynomial. "Complex" means something else.

 

[stapel]

Plus, I think you mean "complicated" polynomial. "Complex" means something else.

True enough, but many books use "complex fraction" to refer to rational expressions of this type. No, the terminology is not the best, but it does appear to be common.

Eliz.