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What is the derivative of x+1/x according to the definition?

+1 vote
Its been forever since I've used the x+h method and I am absolutely lost as to where to begin. I know its supposed to be 1-1/x^2 but I'm drawing a complete blank. Help please!
asked Feb 4, 2013 in CALCULUS by anonymous Apprentice

1 Answer

+2 votes

image

Fundamental theorem of differentiation:  image

image

Rewrite the expression with common denominator.

image

image

image

Rewrite the expression with common denominator.

imageimage

image

image

imageimage

image

imageimageimage

Therefore the derivative ofimage is  image.

answered Feb 4, 2013 by richardson Scholar

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