Chain Rule – Examples and Practice Problems

Chain Rule – Examples and Practice Problems

Derivation problems that involve the composition of functions can be solved using the chain rule formula. This formula allows us to derive a composition of functions such as but not limited to f(g(x)). Here, we will look at a summary of the chain rule....
Chain Rule – Examples and Practice Problems

Proof of The Chain Rule

The Chain Rule is one of the major tools used in Differential Calculus (or Calculus I) derivation applications. It is very essential for the derivative of compositions of at least two different types of functions. However, as easy as it seems to just use a standard...
Quotient Rule – Examples and Practice Problems

Quotient Rule – Examples and Practice Problems

Derivation exercises that involve the quotient of functions can be solved using the quotient rule formula. This formula allows us to derive a quotient of functions such as but not limited to . Here, we will look at the summary of the quotient rule. Additionally, we...
Quotient Rule – Examples and Practice Problems

Proofs of the Quotient Rule

The Quotient Rule is one of the most helpful tools in Differential Calculus (or Calculus I) to derive two functions that are being divided. It can be used along with any existing types of functions as long as division operations are present within the given derivation...
Quotient Rule – Formula, Proof and Examples

Quotient Rule – Formula, Proof and Examples

The Quotient Rule is one of the major principles used in Differential Calculus (or Calculus I). It is commonly applied in deriving a function that involves the division arithmetic operation. The quotient rule was proven and developed using the backbone of...