Notes

Outline

Calculus 2.5 Implicit Differentiation Begins page 134

Explicit form vs Implicit form The parabola  y = x2  is written in explicit form. The Circle x2 +y2  = 25 is written in implicit form. There is an implied relationship between x and y but it is not stated explicitly.

Find dy/dx x3 + y2  - 5 y – x2 = -4

Find the slope of the tangent line to the graph of x2 + 4y2  = 4  at (         ,          )

Find the slope of the tangent line to the graph of x2 + 4y2  = 4  at (         ,          ) 2x + 8y  dy/dx  = 0 8y dy/dx = -2x dy/dx = -2x/8y = -x/4y So  slope at point is (             ) = 1/2