Deriving using the 4 step procedure
Here is where we start to learn about derivatives, but don't fret! With the four step process and some methods we'll see later on, derivatives will be easier than adding or subtracting!
Steps:
1. Substitute any variable "x" in the equation with x+h (or x+delta x)
2. Subtract original equation from your current equation
3. Divide by h
4. Substitute h for 0
Steps:
1. Substitute any variable "x" in the equation with x+h (or x+delta x)
2. Subtract original equation from your current equation
3. Divide by h
4. Substitute h for 0
Example:
y=3x+2 (Original equation)
y=3(x+h)+2 (Substitute x with x+h)
y=3x+3h+2
y=3x+3h+2-(3x+2) (Subtract original equation)
y=3h
y=3h/h (Divide by h)
y=3 (h=0, but doesn't apply to this problem)
y=3x+2 (Original equation)
y=3(x+h)+2 (Substitute x with x+h)
y=3x+3h+2
y=3x+3h+2-(3x+2) (Subtract original equation)
y=3h
y=3h/h (Divide by h)
y=3 (h=0, but doesn't apply to this problem)