Using Logarithmic Differentiation to Differentiate a Product of Two Functions
Using Logarithmic Differentiation to Differentiate a Product of Two Functions
0:00 y = (2x + 5)^3 * (4x - 1)^ (1/2)
0:14 Logarithmic Differentiation is Optional for this Problem
0:48 Take the Natural Log of Both Sides
0:59 Use the Properties of Logarithms to Expand the Right Side of the Equation
2:25 Take d/dx of Both Sides
2:32 Use Implicit Differentiation on the Left Side & Differentiate the Right Side Using the Chain Rule
5:00 Isolate dy/dx
5:32 Replace y With its Rule
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