Logarithmic Differentiation
In this video, you’ll learn about logarithmic differentiation, a powerful technique in calculus used to differentiate complex functions, particularly those involving products, quotients, or exponents.
Derivatives of Logarithmic Functions
[tlg_steps style=”steps-style-2″][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2F” title=”Calculus” icon=”ti-arrow-circle-right” subtitle=”Topics”][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2Fdifferentiations%2F|title:Introductory%20Calculus” title=”Differentiation” icon=”ti-arrow-circle-right” subtitle=”Topics”][/tlg_steps] Before starting examples, you need to know the derivative formulas as shown. In many cases, we need to make use of the properties of logarithm as well. Please remember that if you see “ln” symbol, it is called natural log and it has the base…
Optimization
[tlg_steps style=”steps-style-2″][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2F” title=”Calculus” icon=”ti-arrow-circle-right” subtitle=”Topics”][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2Fdifferentiations%2F|title:Introductory%20Calculus” title=”Differentiation” icon=”ti-arrow-circle-right” subtitle=”Topics”][/tlg_steps] Draw a picture of the scenario, if you can. Step(1) Formulate the objective function. Step(2) Reduce the objective function to One variable. Step(3) Take the derivative of the function and find the critical value(s). Step(4) Find the local max or min by either First derivative…