2.1 Day 1 - 12.notebookccanonaco.weebly.com/.../82240442/2.1_day_1_notes.pdf · 2.1 Day 1...
Transcript of 2.1 Day 1 - 12.notebookccanonaco.weebly.com/.../82240442/2.1_day_1_notes.pdf · 2.1 Day 1...
2.1 Day 1 12.notebook October 18, 2018
Do Now:
2.1 day 1 ‐ Limit Definition of Derivative 10/18/18
Objective: Use the limit definition to find the derivative of a function.
Homework:• 2.1 A • Quiz 2.1 Thursday 10/25 or
Friday 10/26
For each function evaluate then .
a) b)
y
x
2.1 Day 1 12.notebook October 18, 2018
AlternateDefinition of Derivative
NotationThere are many ways to denote the derivative of a function y = f(x). Besides f '(x), the most common notations are:
"y prime" Nice and brief, but does not namethe independent variable.
"dy dx" or "the derivative Names both variables andof y with respect to x" uses d for derivative.
"df dx" or "the derivative Emphasizes the function's name.of f with respect to x"
"d dx of f at x" or "the Emphasizes that differentiationderivative of f at x" is an operation performed on f.
Differentiate ‐ verbDerivative ‐ noun