|
Function
|
Derivative
|
|
c (constant)
|
0
|
|
x
|
1
|
|
c∙x
|
c
|
|
xc
|
c∙xc-1
|
|
xn
|
n∙xn-1
|
|
x-1=1/x
|
-x-2
|
|
x-c=1/xc
|
-c∙x-c-1
|
|
x1/2=√x
|
1/(2√x), where x>0
|
Example 1: Find the derivative of the function f(x) = Pi (3 + √ 5).
This function is simply a constant equal to approximately 5.2, thus it’s derivative is 0
Example 2: Find the derivative of y = - 8/x2
y = - 8/x2= - 8 x -2 = -8 – 2 * x-2-1 = 16 x-3
Example 3: Evaluate the derivative of √ (32)√ 2
Example 4: Calculate the derivative of 
