Logarithmic Differentiation

AP Calculus · Axiom Academy

LESSON Logarithmic Differentiation A powerful technique for complex products and powers Logarithmic differentiation is useful when differentiating: Taking the natural log first simplifies the differentiation. Take the natural log of both sides: Use log properties to expand (products become sums, quotients become differences) Differentiate both sides with respect to x Differentiate using logarithmic differentiation: Step 4: Example 2 - Variable Exponent You've mastered logarithmic differentiation! You've completed all the core differentiation lessons. Next are worked examples and practice problems.

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