1. Logarithmic Derivatives and Using Logarithmic Differentiation to Simplify Problems Brooke Smith

2. Derivative of Log Functions

3. Derivatives of Log Functions Examples Example #1 was solved by using the definition of the derivative of log functions. Example #2 was solved by using the definition of the derivative of log functions and then multiplying by the derivative of (x^2 +6x).

4. Derivatives of Log Functions Practice Problems

5. Derivatives of Log Functions Practice Problem Answers Practice Problem #1 was solved by using the definition of the derivative of log functions, which is 1/xlna. Practice Problem #2 was solved by using the definition of the derivative of log functions, and then multiplying by the derivative of 2x^2 +4x+6, which was found by using the power rule.

6. Derivatives of Log Functions

7. Derivatives of Log Functions Example #1 This problem was solved by using the definition of the derivative of log functions, then simplifying the trig functions.

8. Derivatives of Log Functions Example #2 This problem was solved by taking the derivative of the ln function and then multiplying by the derivative of (4x^2 +2).

9. Logarithmic Differentiation Use logarithmic differentiation when a problem involves a long and/or complicated power, quotient, chain, or other derivative rule. To use logarithmic differentiation, the ln of the entire problem is taken, and then one uses logarithmic rules to complete finding the derivative of the problem. For example, in the problem, division turns to subtraction and multiplication becomes addition.

10. Logarithmic Differentiation Example #1 This problem was solved by taking the ln of the entire function and then by applying the rules of log functions,in which division becomes subtraction and multiplication becomes addition.

11. Logarithmic Differentiation Example #2 This problem was solved by taking the ln of the entire function. Then, multiplication became addition and division became subtraction, making the problem simpler to solve. Then, the original function was plugged in for y, in order to solve for dy/dx.

12. Logarithmic Differentiation Practice Problem #1

13. Logarithmic Differentiation Practice Problem #1 Answer This problem was solved by first taking the ln of the function. Then the division was broken into subtraction while the multiplication was broken into addition due to log rules. The problem was simplified from that point, where y was multiplied to the right side of the function and then substituted in for.

14. Logarithmic Differentiation Practice Problem #2

15. Logarithmic Differentiation Practice Problem #2 Answer This problem was solved by taking the ln of the entire function. Then, the derivative is taken. The y is then multiplied across and then substituted in for. Then simplify and solve for dy/dx.