Compute: {{MATH_109}} {{CMD_110}} Notice the function here is the sum of two terms. The logarithm properties listed above show that logarithms of products can be simplified, but logarithms of sums cannot be. Instead of attempting logarithmic differentiation, let us use the Sum Rule for derivatives to take the derivative of each term separately. Call {{MATH_111}}, and the individual terms {{MATH_112}} and {{MATH_113}}. That means {{MATH_114}}. The Sum Rule says {{MATH_115}}, so we differentiate each term separately. To calculate {{MATH_116}} we use Chain Rule: {{MATH_117}} To calculate {{MATH_118}} we use logarithmic differentiation (since {{MATH_119}} is a product of factors each of which are raised to powers, logarithms will help simplify this). {{ENV_120}} Then {{MATH_121}} which we calculate as: {{ENV_122}} The derivative of the entire function is {{MATH_123}}: {{ENV_124}} {{CMD_125}} {{CMD_126}}