# Given #f(x) = 22x+8#. Then let the area bounded by #f(x): x in (0,x)# and the x-axis be denoted by #A(x)#. Show that #A'(x) = f(x)# ?

##### 1 Answer

Jul 27, 2016

#### Explanation:

The area under

consists of a triangle of base

Area of triangle =

Area of rectangle =

Therefore in this case:

Area of triangle

Area of rectangle

If the required area is denoted by

Also

Therefore we have confirmed that