Episode Synopsis "Proving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90)"

 Proving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90)We demonstrate the ln technique as well as makeing a product into a ratio so you can use L'Hôpital's Rule.  

Listen "Proving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90)"

More episodes of the podcast Mathorama

• Summer Topic: Domains
• Some Algebra of Calculus
• Volume of a Solid (Washer method) Example.
• Intro to Volumes of Revolution: Disk Method
• More definite Integrals and Area under a Curve (4.4 p 293 # 62)
• MVT for Integrals, 1st FTC, and 2nd FTC Proofs
• Related Rated Samples
• Using L'Hôpital's Rule on an e^x Function
• Inverse Functions Have Reciprocal Slopes (5.R p 400 #39)
• A u-sub for arctan (5-R p. 400 #109)
• A Hybrid Parametric Area with d(theta) (10-R p.747 #57)
• Elliptical Orbit in a Polar Form (10.6 p745 #59)
• Definite Integral with arcsine (5.8 p387 #33)
• Finding a Tangent Line Implicitly on a function with e^x (5.4 p348 #65)
• Implicit Differentiation with e^x (5.4 p 348 #63)
• Verifying a Differential Equation involoving e^x (5.4 p349 #69)
• A Bounded Area (def Int) with log base 4 (5.5 p359 #81)
• An Indefinite Integral with Exponents (5.5 p 359 #76)
• Derivative of a Log in base 2 (5.5 p358 #55)
• Proving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90)
• Implicit Diff with arctan (5.7 p 380 #71)
• Derivatives of Inverse Functions on the TI-84 (5.3 p 340 #71)
• The Derivative of an Inverse Function (5.3 p340 #67)
• Intersections of Polar Curves (10.5 p 735 #29)
• Limiting the Domain of a Absolute Value Function so it would have an inverse (5.3 p340 #57)