Utilizing the power rule, you will use these rules below for complicated derivatives
Product Rule: y’= f’g+g’f
Quotient Rule y’= f’g-g’f/g²
Unlike product rule, you should not use quotient rule in every rational function.
“Mr. S explains when you should and shouldn’t use the quotient rule using examples of functions. I liked how he used examples instead of using words to explain, as it makes it easier to understand and visualize. After watching this section of the video, I learnt that you SHOULD use the quotient rule when…
- A function has multiple terms in the numerator and denominator
- A function’s denominator is one term, and that one term is a trig function.
- A function’s numerator is one term, but the denominator has multiple terms
And you should NOT use the quotient rule when…
- A function’s denominator is constant
- When the numerator and denominator are both one term
- Has multiple terms in the numerator but only one term in the denominator”
-Video and explanation given by Laura Chen (Calculus 12 Class Fall 2023)