Question

how do i approach this question thanks

Answer 1

It's probably a good idea to distribute your x^3 to each term in the numerator before taking a derivative.

You don't want to have to apply the product rule WITHIN the quotient rule if you don't need to.

Answer 2

so you mean multiply them with (x+3)

Answer 3

\[\large\rm \color{royalblue}{\left(\frac{x^4+3x^3}{4+x}\right)'}=\frac{\color{royalblue}{\left(x^4+3x^3\right)'}(4+x)-(x^4+3x^3)\color{royalblue}{\left(4+x\right)'}}{(4+x)^2}\]Yes multiply with the x+3,
then setup your quotient rule :)
Sorry if I stole some of the fun there, hehe.

Answer 4

oh ok then apply the quotient rule .. thanks