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The Derivative |
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Calculus
and Analytical
Geometry
MTH101
LECTUER
15
The
Derivative
Definition
of the Derivative
We
know that slope of tangent
line to the
Example
graph
of y=f(x) at the point
XD is
given by
Hence
we have the following
definition
Mth101
Page
46
Calculus
and Analytical
Geometry
The
Derivative
Example
Example
Derivative
Notation
Solution
Mth101
Page
47
Calculus
and Analytical
Geometry
The
Derivative
Existence
of Derivative
For
example
Remark
Mth101
Page
48
Calculus
and Analytical
Geometry
The
Derivative
At
a corner a tangent line does
not exist
because
the slopes of the secant
lines
do
not have a (two sided)
limit.
Mth101
Page
49
Calculus
and Analytical
Geometry
The
Derivative
Mth101
Page
50
Table of Contents:
- Coordinates, Graphs and Lines
- Absolute Values
- Coordinate Planes and Graphs
- Line and Definition of Slope
- Distance, Circles, Quadratic Equations
- Functions and Limits
- Operations on Functions
- Graphs of Functions
- Limits (Intuitive Introduction)
- Limits and Computational Approach
- Limits: A Rigorous Approach
- Continuity
- Limit and Continuity of Trigonometric Functions
- Tangent Lines and Rates of Change
- The Derivative