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Calculus Section 3.8 Apply I mplicit D ifferentiation

Calculus Section 3.8 Apply I mplicit D ifferentiation. Functions can be expressed either explicitly or implicitly. Explicit Function: y = 2x - 7. To differentiate implicitly, use the notation of a derivative. Find the derivative of y 3 – x 2 + xy = 3.

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Calculus Section 3.8 Apply I mplicit D ifferentiation

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  1. Calculus Section 3.8Apply Implicit Differentiation Functions can be expressed either explicitly or implicitly. Explicit Function: y = 2x - 7 To differentiate implicitly, use the notation of a derivative. Find the derivative of y3 – x2 + xy = 3 Implicit Function: 2xy + 3y2 = 5x

  2. examples Find xy4 + y – 2y3/2 = x3 - 6 Find x2y2 – x – 3y = 0

  3. Find the slope of the line tangent to 3x2 + y2 = 12 at the point (1,3).

  4. assignment • Page 163 • Problems 2 -32 even

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