Derivatives of composite functions How would I solve a problem that is asking me to find the derivative of $F$ when $$F(x)=f\left(\frac{x+2}{x+4}\right)$$ and $f$ is differentiable.
Not asking for the answer here obviously, just the steps needed to get off the ground.

$$F(x)=f(\frac{x+2}{x+4})$$
$$F'(x)=f'(\frac{x+2}{x+4})(\frac {x+2}{x+4})'=f'(\frac{x+2}{x+4})(\frac {(x+4)-(x+2)}{(x+4)^2})=(\frac {2}{(x+4)^2})f'(\frac{x+2}{x+4})$$
