In this lesson we work through the derivatives of logarithmic functions in calculus, including natural log, common log, and logarithms with any base. We show how to apply the chain rule, simplify using log properties, and avoid complicated product and quotient rules. These examples are perfect for Calculus 1 and AP Calculus students who need practice with derivative rules. What you will learn in this video: Derivative of natural log x and natural log of absolute value of x Applying the chain rule to natural log of a function of x Derivative of natural log of cosine theta Derivative of natural log of x times e to the x using log properties Derivative of natural log of a quotient using log properties General derivative formula for log base b of x Derivative of log base 3 of 4x Derivative of log base 2 of the square root of 3t^2 minus 2t Derivative of log base 10 of 1 over k^2 Recap of important log properties used in calculus This video emphasizes both rules and strategies for simplifying problems so that derivatives of logarithms become more manageable. For more video lessons and additional resources, visit