1)f(x)=x^2+5x-2/x+4
2)f(x)=[x^5-1/x^4]^6
Is number 1 $\displaystyle f(x) = \dfrac{x^2+5x-2}{x+4}$ or $\displaystyle f(x) = x^2 + 5x - \dfrac{2}{x} + 4 $ or even $\displaystyle f(x) = x^2 + 5x + \dfrac{2}{x+4}$
Same goes for number 2, please use brackets to clearly separate what is in the numerator and what is in the denominator
For clarity - the OP meant those:
$\displaystyle f(x)=\frac{x^2+5x-2}{x+4}$
$\displaystyle f(x) = \left \[ \frac{x^5 - 1}{x^4} \right \] ^6$ (I think.. it's still ambiguous but I think he's meant to use the quotient rule in these problems)
University please consult the stickies in here, it will make it easier to communicate mathematics over the forum.
??? Your original question was to find the derivatives of two functions. The answer will be two functions, not two numbers. Are you asking about evaluating the derivatives at specific values of x? If so, we would have to know the values of x!