tags:
- Mathematics
Differential Calculus studies the rates at which quantities change, I.e. continuous change, or rate of change of a function. it focuses on obtaining the solution to the problems where the rate of a function changes or different properties of integrals and derivatives of functions should be determined.
Concepts:
The derivatives of the function determine the rate of change of a function at a point, it is also called the slope of a function and therefore also defined as the ratio of the change in the value of a dependent variable to the change in the independent variable. The procedure used to obtain the derivatives is called differentiation.
in function
Derivative gives us the slope at the point x. Meaning that it describes how a small change in the input x will affect output y.
If
partial derivative is used in functions with multiple input.
Function | Differentiation Formula |
---|---|
C (Constant Function) | |
Square Function | |
Exponential Functions | |
Log Functions | |
Trigonometric Functions | |
Inverse Trigonometric Functions |