Saturday, 1 November 2014

calculus - Find derivative of function




I need help in finding the derivative. I don't even know where to begin with it. I'm learning chain rule in school and do not see how I can apply that here.



$$
f(x)=\left(\dfrac {x+1}{x^2+8}\right)^6
$$



Any help would be appreciated!


Answer



HINT: If $g(x)=(h(x))^n$, then the Chain Rule implies that $$g'(x)=n(h(x))^{n-1}\cdot h'(x).$$


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