L’hopital’s rule Study guides, Class notes & Summaries

1. Solve for x: 10 · 32x = 3 · (1.12)x Taking the natural log of both sides, we get ln 10 + 2x ln 3 = ln 3 + x ln 1.12 x(2 ln 3 − ln 1.12) = ln 3 − ln 10 x = ln 3 − ln 10 = ln(3/10) 2 ln 3 − ln 1.12 ln(9/1.12) 2. Determine which function has a larger value as x → ∞: (a). f (x) = 0.0005 · x3 or g(x) = 52, 000 · 2x f (x) grows like x3 (we can ignore the constant factor). g(x) grows like 2x, and exponential function (again, we can ignore the constant factor). Thus, g(x...

Notes and solved examples on BC specific calculus topics.

Class notes Differential Calculus (Limits Theorem - Maxima and Minima) with Sample Problems and Solutions. The notes include the topics: Limits Theorem - Maxima and Minima with lots of sample problems with solution and explanations.

Math 260 Week 5 Lab Math 260 Week 5 Lab Category 1: Derivatives of Exponentials: eu Category-2: Derivatives of Logarithms Category 3: L’Hopital’s Rule: Part II: Use your Calculator to determine the following:

These notes relate to the module taught by the mathematics department for the Physics course. However the mathematics in this course is very general and hence can be used by anyone wanting to learn more about this topic. These notes contain a detailed summary about Differentiation