Primary objective of this article is to Define and Discuss on Partial Differentiation. Here explain Partial Differentiation with mathematical point of view. Suppose, Given a function of a couple variables, ƒ (x, y), the derivative with respect to x only (treating y as being a constant) is called the particular partial derivative of ƒ with respect to xand is denoted simply by either ∂ƒ / ∂ times or ƒ x. Also, the derivative of ƒ with respect to y only (treating x as being a constant) is called the particular partial derivative of ƒ with respect to y and is denoted simply by either ∂ƒ / ∂ ful or ƒ y.