Quotient Rule Let f(x) and g(x) be differentiable functions. Then:
Note that, for points where g‘(x)=0, the above derivative is undefined.
Example: Find the derivative of
Just like before, we first notice that if we choose f(x)=tan(x) and g(x)=cos(x), then . We take the derivative of each function:
f'(x) = sec2(x) g'(x) = 1
Then using the quotient rule, we obtain:
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