Your comments and suggestions are welcome.

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. 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. Put these together, and the derivative of this function is 2x-2. The derivative of any constant number, such as 4, is 0. 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. For a polynomial like this, the derivative of the function is equal to the derivative of each term individually, then added together. 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.

How to do derivative of log