Question

How do you find the derivative for `f(x) = (3 + 4x) /( 1 + x^2)`?

Answer 1

• Quotient rule states that `(a/b)'=(a'b-ab')/b^2`

Explanation:

`(df(x))/(dx)=(4(1+x^2)-(3+4x)(2x))/(1+x^2)^2`

`(df(x))/(dx)=(4+4x^2-6x-8x^2)/(1+x^2)^2`

`(df(x))/(dx)=(-4x^2-6x+4)/(1+x^2)^2`