Implicit differentiation

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Intros
Lessons
  1. Explicit Functions VS. Implicit Functions
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Examples
Lessons
  1. The graph shows a circle centred at the origin with a radius of 5.

    Implicit differentiation

    a) Define the circle implicitly by a relation between x and y .
    b) Define the circle by expressing y explicitly in terms of x .
    c) Use the method of "explicit differentiation" to find the slope of the tangent line to the circle at the point (4, -3).
    d) Use the method of "implicit differentiation" to find the slope of the tangent line to the circle at the point (4, -3).
    1. 3y4+5x2y3x6=2x9y+13{y^4} + 5{x^2}{y^3} - {x^6} = 2x - 9y + 1
      Use implicit differentiation to find: dydx\frac{{{d}y}}{{{d}x}}