Different Differentiation Rules
Any problem that can be solved with the quotient rule can also be solved with the product rule and chain rule.
Find the first derivative of:
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
About The Author
|Math, Computer Science, And Writing Tutor|
|Hello! My name is Jesson and my tutoring experience extends over 5 years, with several subjects at nearly all levels of education. I have over 3 years experience as mentor for elementary school students (K-5) in after school programs in Oakland and San Francisco, tutoring primarily with English writ...|