Difference Quotient Calculator

Difference quotient is used to find the slope for a curved line provided between the two points in a graph of a function 'f'. Use this online difference quotient calculator to find f(x+h) - f(x) / h by entering the equation.

f(x+h) - f(x) / h Calculator

Difference quotient is used to find the slope for a curved line provided between the two points in a graph of a function 'f'. Use this online difference quotient calculator to find f(x+h) - f(x) / h by entering the equation.

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Formula :

Difference quotient = (f(x+h)-f(x))/h

In single-variable calculus, difference quotient is used to compute the slope for the secant line (i.e., the line passes between two points on a curve) between any two points in a graph for the function f. For a function f (x), the difference quotient would be f(x+h) - f(x) / h, where h is the point difference and f(x+h) - f(x) is the function difference. The difference quotient formula helps to determine the slope for the curved lines. The f(x+h) - f(x) / h calculator can be used to find the slope value, when working with curved lines. Feel free to use this online difference quotient calculator to find the difference quotient by providing an input equation.

Example:

Find the difference quotient of 12x + 4

Step 1 :

f(x+h) = 12(x+h) + 4

Step 2 :

f(x) = 12x+4

Step 3 :

12(x+h) + 4 - (12x+4)
=12x + 12h +4 - 12x - 4
=12h

Step 4 :

12h / h = 12
Hence 12 is the difference quotient.

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