Question

Hi, I need to find the derivative of f(x)

Answer 1

f(x)= but the answer needs to be in the format of f'(x)=Ax^2 + Bx+c/ (x^2+D)^2

Answer 2

simplify the denominator first then apply the quotient rule

Answer 3

\[\frac{x}{x+\frac{7}{x}}=\frac{x^2}{x^2+7}\]

Answer 4

The derivative I got was \[\frac{ 14 }{ x(x+\frac{ 7 }{ x })^{2} }\]

Answer 5

I just don't know how to get it into the format they want it in.

Answer 6

like I said, simplify first, then apply quotient rule

Answer 7

\[f'(x)=\frac{2x(x^2+7)-x^2(2x)}{(x^2+7)^2}\]simplify....

Answer 8

Thank you!

Answer 9

no problem