Download presentation
Presentation is loading. Please wait.
Published byAlexina Wells Modified over 5 years ago
1
31 – Power, Product, Quotient Rule No Calculator
Derivative Investigations 31 – Power, Product, Quotient Rule No Calculator
2
The derivative of f(x) with respect to x is the function f ‘ (x) [read “f prime of x”]:
Symbols for the derivative with respect to x Differentiation – the process of computing derivatives
3
Methods of Differentiation
The computing of results in ‘patterns’ of answers. Knowing these patterns (which will require memorization) can shorten the work necessary compute: Below are four functions and the answer to Discuss and see if you can find the pattern.
4
Based upon the pattern you saw, given the two functions below, find f ‘ (x).
Our first ‘method of differentiation’: The Polynomial Rule of Differentiation
5
Given f(x), find f ‘ (x). Rewrite g(x) as a polynomial. Then find g ‘ (x).
6
The Product Rule of Differentiation
OR where F represents a function (first factor) S represents a function (second factor)
7
Product Rule Examples Try one…..
8
Given y below, find You need NOT simplify your answer.
9
The Quotient Rule of Differentiation
OR
10
Quotient Rule Examples
11
Given y below, find You need NOT simplify your answer.
13
The derivative of a derivative is referred to as the ‘second derivative’.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.