## Calculus Tutorial

*power rule*

#### Intro

Differentiating negative power

the power rule also allows us to differentiate expressions like 1/x2

#### Sample Problem

Find the derivative of f(x)=5/x3-3/x2+8x

#### Solution

y=5/x3-3/x2+8x

y=5x(-3)-3x(-2)+8x rewrite as power

dy/dx=5.-3.x(-4)-3.-2.x(-3)+8 power rule

=-15x(-4)+6x(-3)+8

=-15/x4+6/x3+8 rewrite as fraction

# About The Author

Mathematics Teacher |

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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