Implicit Differentiation

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Presentation transcript:

Implicit Differentiation Dude, I totally don’t know implicit differentiation Chapter 3.7 Implicit Differentiation Rita Korsunsky

Explicit vs. Implicit Implicitly defined functions y is an explicit function of x since it is written as y = f (x) y is implicit function of x since it is not written as y = f (x) y is implicitly defined in terms of x

Why implicit differentiation?

Example using Implicit diff.

Example with Trigonometry

Power Rule for the rational powers of x Proof Implicitly differentiate