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Explicit vs Implicit Functions Explicit: Implicit:

Explicit vs Implicit Functions

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Explicit vs Implicit Functions. Explicit: Implicit: . 2.5 Implicit Differentiation. When do we need to use the Chain Rule? . 1. 2. Suppose y is a function of x 3. 4. . - PowerPoint PPT Presentation

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Page 1: Explicit vs Implicit Functions

Explicit vs Implicit Functions

Explicit:

Implicit:

Page 2: Explicit vs Implicit Functions

2.5 Implicit Differentiation

Page 3: Explicit vs Implicit Functions

When do we need to use the Chain Rule?

1.

2. Suppose y is a function of x3. 4.

Page 4: Explicit vs Implicit Functions

Pay attention to the variable you are differentiating with respect to.

If it not the same, use the chain rule5.

Page 5: Explicit vs Implicit Functions

7. Find :

Page 6: Explicit vs Implicit Functions

8. Find :

Page 7: Explicit vs Implicit Functions

8. Find the equation of the normal line to the function at

Page 8: Explicit vs Implicit Functions

9. Find

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