In this tutorial we shall discuss the derivative of the linear function or derivative of the straight line equation in the form of the slope intercept.
Let us suppose that the linear function is of the form , where is the slope and is Y-intercept, and this represents the equation of straight line.
Differentiating the given linear function with respect to , we get
In the given function we have two values; now differentiating separately we get
Use the following formulae and to evaluate given function as
We can conclude that the derivative of the given function is the slope of the function.
Example: Find the derivative of
We have the given function as
Differentiating with respect to variable , we get
Now using the formulas and , we have