Think About It The point (1, 3) lies on the graph of f, and the slope of the tangent line through this point is m = 2. Assume f-1 exists. What is the slope of the tangent line to the graph of f-1 at the point (3,1)?
Step 1 of 5) THEO REM 4—Green’s Theorem (Circulation-Curl or Tangential Form) Let C be a piecewise smooth, simple closed curve enclosing a region R in the plane. Let F = M i + N j be a vector field with M and N having continuous first partial derivatives in an open region containing R. Then the counterclockwise circulation of F around C equals the double integral of (curl F) # k over R.