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

# differentiation

# 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.