Partial derivatives
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Intros
Lessons
- Partial Derivatives Overview:
- Introduction to Partial Derivatives
- Derivatives in terms of 1 variable
- Treating all other variables as constants
- An example
- Definition of Partial Derivatives
- Recalling the definition of derivative
- Two formal equations
- Won't be Using them (Too Complicated)
- Application of Partial Derivatives
- Finding the tangent slope of a trace
- Seeing if the function is increasing or decreasing
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Examples
Lessons
- Finding the Partial Derivatives
Find the first order partial derivatives of the following function: - Find the first order partial derivatives of the following function:
- Find the first order partial derivatives of the following function:
- Find the slope of the traces to at the point .
- Find the slope of the traces to at the point .
- Is the Function Increasing or Decreasing?
Determine if is increasing or decreasing at the point if:- We allow to vary and hold fixed.
- We allow to vary and hold fixed.
- Determine if is increasing or decreasing at the point if:
- We allow to vary and hold fixed.
- We allow to vary and hold fixed.