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Implicit Differentiation Review: Steps & Examples for Derivatives

Learn how to differentiate implicitly, collect terms and solve for dy/dx. Find derivatives, slopes of tangent lines, and equations of normal lines. Practice problems included.

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Implicit Differentiation Review: Steps & Examples for Derivatives

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  1. Derivatives Review- 3 Implicit Differentiation

  2. Steps Differentiate implicitly Collect all dy/dx terms on the left Collect everything else on the right Factor out dy/dx Solve for dy/dx

  3. 1) Find the derivative of

  4. 2) solve

  5. Find the slope of the tangent line (parallel to the curve and has the same slope) through the point ( 2, 1 )

  6. Implicit Trig differentiation

  7. 4) differentiate

  8. 5) differentiate

  9. 6) Find the equation of the normal line ( perpendicular to the curve and has opposite reciprocal slopes) through the point (1, 1)

  10. Home Work Page 146 # 2,4,6,9,10,11,13,21,24,28,and 53

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