the derivative chapter 3 by: hassan, jsky, spawz
DESCRIPTION
The Derivative Chapter 3 By: Hassan, JSKY, Spawz. Key Concepts. Definition of Derivative Tangent Line Instantaneous velocity Power Rule Find Equation of a Tangent Line Product Rule Quotient Rule Chain Rule Trig Derivatives Finding 2nd Derivative. Definition. - PowerPoint PPT PresentationTRANSCRIPT
The DerivativeChapter 3
By: Hassan, JSKY, Spawz
Key ConceptsDefinition of Derivative Tangent Line Instantaneous velocity Power RuleFind Equation of a Tangent LineProduct RuleQuotient RuleChain RuleTrig Derivatives Finding 2nd Derivative
Definition
• Derivative-Studying rate at which one quantity changes relative to another. It is a tangent line of a slope.
Tangent Line
• Segment that hits one point
Ex.) Y= 4x-2
Power Rule
Equation of a Tangent Line
Given that f(-2)=4 and f’(-2)=6, find the equation of the tangent line to the graph of y=f(x) at x=-2
Instantaneous Rate of ChangeIt simply means find the derivative.
Find the instantaneous rate of change of y with respect to x at any arbitrary value for x using the definition.
y=4x-2
Product Rule
f(x)=(3 -6)(2x-3)
Quotient Rule
Chain Rule
y=tan
2nd Derivative
• Find the derivative of the first derivative
y=sin(3x)
Trig Derivatives