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Implicit Differentiation

Implicit Differentiation - left side of the eqn and move...

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Implicit Differentiation Section 2.5

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Explicit form – solved for y example: y = 3x + 2 Implicit form – not solved for y example: x 2 + 2y 3 + 4y = 1 When it’s difficult to express y as a function of x explicitly, you can use implicit differentiation .
Guidelines for Implicit Differentiation Differentiate both sides of the eqn. with respect to x. Move all terms with on the

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Unformatted text preview: left side of the eqn. and move all other terms to the right. Factor out of the left side of the eqn. dx dy dx dy Solve for by dividing both sides of the eqn. by the left-hand factor that does not contain . dx dy dx dy Joke Time Which sea creature can add up? An octoplus! What did the confused bee say? To bee or not to bee...
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