5.1.3 Tangents, differentials, and differentiation A Simple Proof of the Reflection Property for Parabolas, R. H. Cowen, 7:2, 1976, 59-60, C, 0.5 Mappings, Diagrams, Continuous Functions and Derivatives, Thomas J. Brieske, 9:2, 1978, 67-72 A Note on the Derivative of a Composite Function, V. N. Murty, 11:1, 1980, 50, C Derivatives Without Limits, Harry Sedinger, 11:1, 1980, 54-55, C, 5.1.2 Intuition Out to Sea, William A. Leonard, 13:3, 1983, 195-196, C Related Rates and the Speed of Light, Steven C. Althoen and John F. Weidner, 16:3, 1985, 186-189 What a Tangent Line is When it isn't a Derivative, Irl C. Bivens, 17:2, 1986, 133-143 Transitions, Jeanne L. Agnew and James R. Choike, 18:2, 1987, 124-133, 0.7, 5.6.1, 9.10 Differentials and Elementary Calculus, D. F. Bailey, 20:1, 1989, 52-53, C Automatic Differentiation and APL, Richard D. Neidinger, 20:3, 1989, 238-251, 5.1.2 A Chaotic Search for i, Gilbert Strang, 22:1, 1991, 3-12, 6.3, 9.5 FFF #47. A Natural Way to Differentiate and Exponentiate, Ed Barbeau, 22:5, 1991, 404, F, 5.1.2 (also 23:3, 1992, 206 and 24:3, 1993, 231) Who Needs the Sine Anyway?, Carlos C. Huerta, 23:1, 1992, 43-44, C, 5.4.2 Visualization of Limits and Limits of Visualization: Student Research Projects, Lee H. Minor, 23:1, 1992, 48-51, 0.4, 0.5 FFF #54. A Degree of Differentiation, Ed Barbeau, 23:3, 1992, 203, F, 0.6 (also 23:4, 1992, 306 and 24:4, 1993, 345) An Exponential Rule, G. E. Bilodeau, 24:4, 1993, 350-351, C A Useful Notation for Rules of Differentiation, Robert B. Gardner, 24:4, 1993, 351-352, C FFF #70. Reading a Calculator Display, Sandra Z. Keith, 25:1, 1994, 36, F, 0.2 Euler and Differentials, Anthony P. Ferzola, 25:2, 1994, 102-111, 2.2 Isaac Newton: Credit Where Credit Won't Do, Robert Weinstock, 25:3, 1994, 179-192, 0.5, 2.2, 5.4.3, 5.6.1 The Dynamics of Newton's Method for Cubic Polynomials, James A. Walsh, 26:1, 1995, 22-28, 6.3 The Spider's Spacewalk Derivation of sin' and cos', Tim Hesterberg, 26:2, 1995, 144-145, C The Falling Ladder Paradox, Paul Scholten and Andrew Simoson, 27:1, 1996, 49-54, C, 6.2 Bond Duration: An Application of Calculus, John C. Hegarty, 27:1, 1996, 47-49, C FFF #110. The Speeder's Delight, Carl E. Crockett, 27:5, 1996, 370-371, F (see also 30:2, 1999, 131) Area and Perimeter, Volume and Surface Area, Jingcheng Tong, 28:1, 1997, 57, C, 0.4 A Continuous Version of Newton's Method, Steven M. Hetzler, 28:5, 1997, 348-351, 6.3 The Witch of Agnesi, S. I. B. Gray and Tagui Malakyan, 30:4, 1999, 258-268, 2.2 The Derivative of Sin theta, Selvaratnam Sridharma, 30:4, 1999, 314-315, C Normal Lines and Curvature, Kirby C. Smith, 31:1, 2000, 54-56, C, 9.8 Related Rates Collide with Vectors, Stephen Fulling, 31:2, 2000, 116-119, 5.5 Normal Lines and the Evolute Curve, David Sanchez and Kirby C. Smith, 31:5, 2000, 397-403, C, 5.6.1 Tangents without Calculus, Jorge Aarao, 31:5, 2000, 406-407, C, 0.2, 0.7 Derivative of the Tangent (Mathematics Without Words), Yukio Kobayashi, 32:1, 2001, 14, C On the Tangent Lines of a Parabola, Mikko Stenlund, 32:3, 2001, 194-196 Magic Squares, Finite Planes, and Points of Inflection on Elliptic Curves, Ezra Brown, 32:4, 2001, 260-267, 9.2, 9.3 Applications of Differentials, Li Feng, 33:4, 2002, 295, C, 9.5 Off on a Tangent, Russell A. Gordon and Brian C. Dietel, 34:1, 2003, 62-63, C, 9.5 Tangent Line Transformations, Steven Butler, 34:2, 2003, 105-106 FFF #214. The area under a tangent, Ed Barbeau, 34:4, 2003, 312-313, F, 5.1.4 FFF #216. A simple way to differentiate a quotient, Anand Kumar, 34:4, 2003, 313-314, F Finding the Tangent to a Conic Section Without Calculus, Sidney H. Kung, 34:5, 2003, 394-395, C, 0.2 On Determining the Non-Circularity of a Plane Curve, Lane F. Burgette and Russell A. Gordon, 35:2, 2004, 74-83, 5.2.8, 9.7 A Property Possessed by Every Differentiable Function, Jingcheng Tong, 35:3, 2004, 216-217, C Tangent Lines and the Inverse Function Differentiation Rule, Maurizio Trombetta, 35:4, 2004, 258-261, 9.5 Successive Differentiation and LeibnizŐs Theorem, P. K. Subramanian, 35:4, 2004, 274-282, 5.4.3, 6.2 Logarithmic Differentiation: Two Wrongs Make a Right, Noah Samuel Brannen and Ben Ford, 35:5, 2004, 388-390, C The Computation of Derivatives of Trigonometric Functions via the Fundamental Theorem of Calculus, Horst Martini and Walter Wenzel, 36:2, 2005, 154-158, C, 5.2.1, 5.3.1 Intersections of Tangent Lines of Exponential Functions, Timothy G. Feeman and Osvaldo Marrero, 36:3, 2005, 205-208, 0.5, 5.3.2 FFF #247. Tangent howlers, Carl Libis, 37:1, 2006, 41, F Descartes Tangent Lines, William Barnier and James Jantosciak, 38:1, 2007, 47-49, C An Area Approach to the Second Derivative, Vania Mascioni, 38:5, 2007, 378-380, C, 9.5 Two Problems with Table Saws, William R. Vautaw, 39:2, 2008, 121-128, 0.4, 0.6 The Na•ve Chain Rule, M. Leigh Lunsford, Marcus Pendergrass, Phillip Poplin and David Shoenthal, 39:2, 2008, 142-145, C The Na•ve Product Rule for Derivatives, Carter C. Gay, Akalu Tefera and Aklilu Zeleke, 39:2, 2008, 145-148, C