Question 1088288
<pre>

{{{matrix(1,3,y,""="",x^2(x+3)^20)}}}

Derivative of a product =

{{{matrix(1,7,
"y'",
"",
""="",
"",
(FIRST)*(matrix(3,1,DERIVAIVE,OF,SECOND)),
""+"",
(SECOND)*(matrix(3,1,DERIVAIVE,OF,FIRST))
)}}} =

The first times the derivative of the second plus
the second times the derivative of the first.

The first = {{{x^2}}}
Derivative of the first = {{{2x}}}
The second = {{{(x+3)^20}}}
Derivative of the second = {{{20(x+3)^19}}}

{{{matrix(1,7,
"y'",
"",
""="",
"",
(FIRST)*(matrix(3,1,DERIVAIVE,OF,SECOND)),
""+"",
(SECOND)*(matrix(3,1,DERIVAIVE,OF,FIRST))
)}}}

{{{matrix(1,3,"y'",""="",x^2(20(x+3)^19)+(x+3)^20(2x^"")))}}}

{{{matrix(1,3,"y'",""="",20x^2(x+3)^19+2x(x+3)^20)}}}

Factor out 2x(x+3)<sup>19</sup>

{{{matrix(1,3,"y'",""="",2x(x+3)^19(10x+(x+3)^1))}}}

{{{matrix(1,3,"y'",""="",2x(x+3)^19(10x+(x+3)^""))}}}

{{{matrix(1,3,"y'",""="",2x(x+3)^19(10x+x+3))}}}

{{{matrix(1,3,"y'",""="",2x(x+3)^19(11x+3))}}}

Edwin</pre>