What is partial derivative nedir?

Partial derivative is a mathematical concept in calculus that deals with finding the rate of change of a function with respect to one of its variables while keeping other variables constant. It is denoted by ∂/∂x or ∂f/∂x, where ∂ represents the partial derivative symbol, while x is the variable whose partial derivative is being calculated.

In plain language, a partial derivative shows how much a function changes when only one of its variables is varied while keeping the other variables constant. It is used to determine the sensitivity of a function to changes in its variables, which is useful in many fields such as physics, economics, engineering, and finance.

Partial derivative plays a crucial role in multivariable calculus, where it is used to solve optimization problems, find critical points, and determine the direction of gradients. It is also an essential tool in differential equations, where it helps in solving partial differential equations, which are commonly used in physics to model physical phenomena.