5.03 - Implicit Derivation

Pre-Work: 

Agenda:

• • Desmos Class link

• Post Quiz 5.02

  • Think About It

  • Synthesis

  • Practice

Additional Resources:

1) Copy the following notes

Notes:

Explicit derivation: used to find the derivative of an explicit function, where y=3x+5, meaning y is clearly defined in terms of x. For y=3x+5, dy/dx=3.

Implicit derivation: used to find the derivative of an implicitly defined function, where the function is defined in terms of x and y (x and y are intermixed). 

Example:

Bonus Opportunity: Find the equation of the tangent(s) of the Tschirnhausen cubic at x = -2.

Implicit Derivation Problems

2) Watch and Note "Implicit Differentiation" video up to 24:30.

3)Complete the attached pre-quiz and submit work here.