Your comments and suggestions are welcome. Remember to simplify early and often (a) d e2lnx dx' (b) log sinx a d a dx' (c) 5. Find the derivative of each function, given that a is a constant (a) yx a (b) ya x (c) yx x (d) ya a 2. Д¬lick HERE to see a detailed solution to problem 11.Д¬lick HERE to see a detailed solution to problem 12.Д¬lick HERE to return to the original list of various types of calculus problems. Worksheet 4.10Derivatives of Log Functions & LOG DIFF Show all work.

Determine the slope of the line perpendicular to the graph of f at x=1.

Д¬lick HERE to see a detailed solution to problem 10. Find an equation of the line tangent to the graph of f at x=1. The following problems range in difficulty from average to challenging.Д¬lick HERE to see a detailed solution to problem 1.Д¬lick HERE to see a detailed solution to problem 2.Д¬lick HERE to see a detailed solution to problem 3.Д¬lick HERE to see a detailed solution to problem 4.Д¬lick HERE to see a detailed solution to problem 5.Д¬lick HERE to see a detailed solution to problem 6.Д¬lick HERE to see a detailed solution to problem 7.Д¬lick HERE to see a detailed solution to problem 8.Д¬lick HERE to see a detailed solution to problem 9. Though the following properties and methods are true for a logarithm of any base, only the natural logarithm (base e, where eДЄVOID THE FOLLOWING LIST OF COMMON MISTAKES It requires deft algebra skills and careful use of the following unpopular, but well-known, properties of logarithms. Logarithmic differentiation will provide a way to differentiate a function of this type. An example and two COMMON INCORRECT SOLUTIONS are :Д«OTH OF THESE SOLUTIONS ARE WRONG because the ordinary rules of differentiation do not apply. For example, in the problems that follow, you will be asked to differentiate expressions where a variable is raised to a variable power. It is a means of differentiating algebraically complicated functions or functions for which the ordinary rules of differentiation do not apply. The following problems illustrate the process of logarithmic differentiation.

Formula for derivative of log