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Methods of Differentiation — Part 1: Implicit, parametric and relative derivatives

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Lesson

Methods of Differentiation, Part 1

Some curves never give yy on its own. We can still find their slopes.

In this lesson you will

  • Differentiate a curve given in implicit form and find its slope at a point
  • Find horizontal and vertical tangents from the form of dy/dx
  • Differentiate a curve given in parametric form
  • Differentiate one function with respect to another
  • x3+y3=9x^3 + y^3 = 9
  • tangent at (1,2)(1, 2)
Slope $-\dfrac14$ at $(1, 2)$ without solving for $y$.