Implicit differentiation

Lessons

• Introduction
  Explicit Functions VS. Implicit Functions

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• 1.
  The graph shows a circle centred at the origin with a radius of 5.
  
  
  
  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).

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• 2.
  $3{y^4} + 5{x^2}{y^3} - {x^6} = 2x - 9y + 1$
  Use implicit differentiation to find: $\frac{{{d}y}}{{{d}x}}$

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