Different Differentiation Rules
Any problem that can be solved with the quotient rule can also be solved with the product rule and chain rule.
Separate the numerator and denominator into two separate functions, then find their derivatives.
Plug into the quotient rule formula:
You can expand the answer if you like, but this is sufficient.
Now for the Product Rule. This time, we will turn the denominator into a negative exponent:
g(x) will remain the same, but h(x) and h'(x) will look like this using the chain rule:
And plug into the product rule:
You should arrive at the same answer in both cases
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