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Partial Derivative শব্দের বাংলা অর্থ: আংশিক ডেরিভেটিভ
Partial Derivative Meaning In Bengali আংশিক ডেরিভেটিভ
Partial Derivative
Definition
1) In mathematics, a partial derivative is a derivative that indicates how a function changes when only one variable is varied, while all other variables remain constant. It is denoted by symbols like ∂/∂x or ∂/∂y.
2) A partial derivative is a way to measure the rate at which a function changes with respect to one of its variables, holding other variables constant.
3) When finding the partial derivative of a function, you are essentially finding how the function's output changes as a specific input variable changes, while keeping the other variables fixed.
Examples
Partial Derivative Example in a sentence
1) To find the rate of change of a function with respect to one variable while holding the others constant, you can calculate a partial derivative.
2) The partial derivative of f(x, y) with respect to x is denoted as ∂f/∂x.
3) When taking a partial derivative, all variables except the one being differentiated are treated as constants.
4) The partial derivative of a function of several variables measures how the function changes with respect to each variable independently.
5) Calculating partial derivatives is an important concept in multivariable calculus.
6) In economics, partial derivatives are commonly used to analyze how different factors affect a particular outcome.
7) To compute a tangent plane to a surface at a given point, you would need to take partial derivatives of the surface function.
8) Engineering applications often involve determining partial derivatives to optimize system performance.
9) Understanding partial derivatives is crucial for studying the behavior of functions in multiple dimensions.
10) The chain rule can be applied to partial derivatives when dealing with composite functions in several variables.
Part of Speech
Partial Derivative (Adjective)
Synonyms
Encyclopedia
In mathematics, a partial derivative is a derivative that indicates how a function changes when only one variable is varied, while all other variables remain constant. It is denoted by symbols like ∂/∂x or ∂/∂y.
A partial derivative is a way to measure the rate at which a function changes with respect to one of its variables, holding other variables constant.
When finding the partial derivative of a function, you are essentially finding how the function's output changes as a specific input variable changes, while keeping the other variables fixed.
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