Independent Variable Definition Independent Variable Definition Variables are very important in mathematics and also plays vary important role in solving the various equations, expressions and functions. There are various letters present in the equations, expressions and also in functions like a, h, x, g, etc these letters are called variables. Now in equations we don’t know the value of variables so we assume the value of some variable to get the value of other variable and variable used in theorems to prove them. Variables are sub divided into two types 1. Dependent variables. 2. Independent variables. Now those variables are called independent for which we assume the value and after assume the value we come to know the value of other variable and this variable is called dependent variable. Know More About Mean Value Theorem Math.Tutorvista.com
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Suppose we have an equation m = n + 2e so in this equation we saw that first we assume the value of n and e to get the value of m so m is depend on n and e so m is dependent variable and n and e are independent variable as their values are independent. Now we are going to explore the Independent Variable Definition Independent variables are those variables whose value does not depend on other variable in other words independent variables are those variables for which we assume the value and it remains same during whole solution and by assuming the value for independent variable we get the value of dependent variable. Suppose we have an equation d = f + 2e so in this equation f and e are independent variables and d is dependent variable, now if we assume the values for independent variables then we come to know the value of dependent variable. Example are given below 1. j = b + 6 , in this equation as we see that b is independent variable and j is dependent variable as its value depend on b value. 2. f = 2j – 2 , in this equation j is independent variable as its value stands alone not depend on any other variable but f is dependent variable as its value depend on j value.
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Now as we saw in above example the value of dependent variable is not constant because whenever value of independent variable changes then there is change in value of dependent variable but when we assume the value of independent variable is remains constant and does not change during the process of equation. so we take an equation f = 12 + r, in this equation it is clear that r is independent variable and f is dependent variable but if we assume he value of r is 6 then it remains same during whole process and by putting the value of r in equation we get the value of f that is 18 so it shows that value of f depends on value of r so f is dependent variable.
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