SOLUTION: Differentiation:using product rule Plz help x^2(x+3)^20 Thx in adv

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Question 1088288: Differentiation:using product rule Plz help
x^2(x+3)^20
Thx in adv
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

matrix%281%2C3%2Cy%2C%22%22=%22%22%2Cx%5E2%28x%2B3%29%5E20%29

Derivative of a product =

 =

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

The first = x%5E2
Derivative of the first = 2x
The second = %28x%2B3%29%5E20
Derivative of the second = 20%28x%2B3%29%5E19







Factor out 2x(x+3)19





matrix%281%2C3%2C%22y%27%22%2C%22%22=%22%22%2C2x%28x%2B3%29%5E19%2810x%2Bx%2B3%29%29

matrix%281%2C3%2C%22y%27%22%2C%22%22=%22%22%2C2x%28x%2B3%29%5E19%2811x%2B3%29%29

Edwin