## Calculus Tutorial

*product rule*

#### Intro

The product rule tells us how to find the derivative of the product of two functions.

d/dx(f(x)g(x))=f(x)d/dx(g(x))+g(x)d/dx(f(x))

#### Sample Problem

#### Solution

y=(x2+x+4)(2x+3)

dy/dx=(x2+x+4).d/dx(2x+3)+(2x+3).d/dx(x2+x+4) product rule

dy/dx=(x2+x+4).2+(2x+3).(2x+1)

dy/dx=2×2+2x+8+4×2+2x+6x+3

dy/dx=6×2+10x+11 simplify

# About The Author

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I was a teacher in Srilanka from 1992 to 2006. I took tuition from 1990 to 1991 in India. I do general work in Canada but I help to do homework to my daughters. I finished my teacher\'s training college diploma in Srilanka. I completed my B.Sc degree course at Bharayiar university in India. |

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