Integration is the reverse process of differentiation. Let the domain be = y\)ĭifferential Calculus vs Integral Calculusĭifferential calculus uses differentiation to find the derivative of a function while integral calculus uses integration to find the integral of a function. In other words, the value of a dependent variable is determined by an independent variable.ĭomain and Range - In differential calculus, the domain can be defined as the list of all input values while the range is all the output values that are obtained after applying the inputs to a function. The value of this variable changes with respect to a change in the dependent variable. In a mathematical model, the variable that gets manipulated is the independent variable.ĭependent variable - The variable in a function that represents the output is known as the dependent variable. Independent variable - In a function, the variable that acts as the input is known as the independent variable.
Here, x (input) is the independent variable, and y (output) is the dependent variable. Some important terms associated with differential calculus are listed below:įunction - A function is defined as a binary relation where each input is mapped to exactly one output. If y = f(x) is the function that is differentiated then, according to differential calculus, the notation is given as f'(x) = dy / dx. For example, the speed of a moving object can be interpreted as the rate of change of distance with respect to time. Differential calculus is the study of the rate of change of a dependent quantity with respect to a change in an independent quantity.
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