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U sin g space t h e space d e f i n i t i o n space o f space d e r i v a t i v e s comma space f i n d space t h e space d e r i v a t i v e space o f space f left parenthesis x right parenthesis equals 5 over x

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Asked by Topperlearning User 16th November 2016, 2:35 AM
Answered by Expert
Answer:

f left parenthesis x right parenthesis equals 5 over x
f left parenthesis x plus h right parenthesis equals fraction numerator 5 over denominator x plus h end fraction
f apostrophe left parenthesis x right parenthesis
equals limit as h rightwards arrow 0 of fraction numerator f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis over denominator h end fraction
equals limit as h rightwards arrow 0 of fraction numerator fraction numerator 5 over denominator x plus h end fraction minus 5 over x over denominator h end fraction
equals limit as h rightwards arrow 0 of fraction numerator negative 5 h over denominator h left parenthesis x plus h right parenthesis x end fraction
equals fraction numerator negative 5 over denominator x squared end fraction

Answered by Expert 16th November 2016, 4:35 AM
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