Posts Tagged ‘differentiation’

Ex: Chain Rule – Function of Two Variables with One Independent Variable

This video explains how to determine a derivative of  a function of two variables using the chain rule.

Application of Chain Rule of a Function of Two Variables – Change of Volume

This video explains how to determine the change of volume with respect to time given a function of two variables.  The chain rule is required.

Ex: Chain Rule – Function of Two Variables with Two Independent Variable

This video explains how to determine a partial derivative of  a function of two variables using the chain rule.

Ex: Chain Rule – Function of Two Variables with Three Independent Variable

This video explains how to determine the value of a partial derivative of  a function of two variables using the chain rule.

Ex: Determine Concavity and Points of Inflection – f(x)=x^2*e^(4x)

This video explains how to determine the open intervals for which a function is concave up or concave down.  The points of inflection are also found.

Proof – The Derivative of f(x)=ln(x): d/dx[ln(x)]=1/x (Implicit Diff)

This video proves the derivative of f(x)=ln(x) equals 1/x using the definition of a log and implicit differentiation.

Proof – The Derivative of f(x)=log_a(x): d/dx[log_a(x)]=1/((ln a)x)

This video proves the derivative of f(x)=log_a(x) using the change of base formula.