Differentiation #d/dx( 1/x)#?

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Jim H Share
Jan 1, 2017

Answer:

Use either the power rule or the quotient rule.

Explanation:

Power Rule

#d/dx(1/x) = d/dx(x^-1) = -1x^(-1-1) = -x^-2 = -1/x^2#

Quotient Rule

#d/dx(1/x) = ((0)*(x)-(1)(1))/x^2 = -1/x^2#

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