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Explicit vs Implicit

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Explicit: Explicit: A function defined in terms of one variable. y= 3x + 2 is defined in terms of x only. Implicit: Implicit: A function defined in terms of two or more variables. y 2 + 2xy + 3x 2 = 12 is defined in terms of x and y. You can’t solve the equation for either x or y only.

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Identify each function as either explicit or implicit. Polling question: 1.2

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Find the derivative of the explicit functions Page 1.3 Page 1.4 Page 1.5

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Find the derivative of the implicit functions Student practice page 1.6 Student practice page 1.7 Student practice page 1.8

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Student practice page 1.9

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Student practice page 1.10

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Calculus: IMPLICIT DIFFERENTIATION Section 4.5. Explicit vs. Implicit y is written explicitly as a function of x when y is isolated on one side of the.

Calculus: IMPLICIT DIFFERENTIATION Section 4.5. Explicit vs. Implicit y is written explicitly as a function of x when y is isolated on one side of the.

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