Suppose $h$ is a function which has a derivative at $x$ and $f$ is the function so that $f (x) = 1 / h (x)$ for all numbers $x$ is the domain of $h$ so $h (x) \neq 0$.

(a) Find a function $g$ so that $f (x) = g (h (x))$ for all numbers $x$in the domain of $f$:

$g (y) =$?

Question

Suppose $h$ is a function which has a derivative at $x$ and $f$ is the function so that $f (x) = 1 / h (x)$ for all numbers $x$ is the domain of $h$ so $h (x) \neq 0$.

(a) Find a function $g$ so that $f (x) = g (h (x))$ for all numbers $x$in the domain of $f$:

$g (y) =$?

anonymous · Answer

also (b) Use the chain rule to find $f' (x)$

anonymous · Answer

Quotient Rule f'(x) = h(x)g'(x) - h'(x)g(x)/h(x)^2 more info here = http://en.wikipedia.org/wiki/Quotient_rule