Symbols and notation
Partial derivative symbol
The rounded symbol ∂ marks differentiation with respect to one variable while other independent variables are held constant.
In one sentence
What does Partial derivative symbol mean?
The rounded symbol ∂ marks differentiation with respect to one variable while other independent variables are held constant.
How it is written
∂f/∂x
A compact example
For f(x,y)=x²y, the partial derivative with respect to x is ∂f/∂x=2xy.
Other names and search terms
∂, partial derivative, curly d, partial differentiation symbol.
Where this fits
When should you learn Partial derivative symbol?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolPrepare foundations
- 2High schoolUsually introduced
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Mathematical notation
- Algebra
- Reading equations
- Fluent formula reading
- Advanced mathematics
Recognising notation reduces friction when formulas become denser.
Open the Zero-to-QM pathClear answers
Questions about Partial derivative symbol
What does Partial derivative symbol mean in mathematics?
The rounded symbol ∂ marks differentiation with respect to one variable while other independent variables are held constant.
How is Partial derivative symbol written?
A common notation is ∂f/∂x.
What is an example of Partial derivative symbol?
For f(x,y)=x²y, the partial derivative with respect to x is ∂f/∂x=2xy.