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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 square root of x plus 8 x to the power of 1 third end exponent minus 2 x to the power of 1 fourth end exponent

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Asked by Topperlearning User 16th November 2016, 2:56 AM
Answered by Expert
Answer:

fraction numerator d f left parenthesis x right parenthesis over denominator d x end fraction
equals fraction numerator d over denominator d x end fraction square root of x plus fraction numerator d over denominator d x end fraction 8 x to the power of 1 third end exponent minus fraction numerator d over denominator d x end fraction 2 x to the power of 1 fourth end exponent
equals 1 half x to the power of fraction numerator negative 1 over denominator 2 end fraction end exponent plus 8 over 3 x to the power of fraction numerator negative 2 over denominator 3 end fraction end exponent minus 2 over 4 x to the power of fraction numerator negative 3 over denominator 4 end fraction end exponent
equals 1 half x to the power of fraction numerator negative 1 over denominator 2 end fraction end exponent plus 8 over 3 x to the power of fraction numerator negative 2 over denominator 3 end fraction end exponent minus 1 half x to the power of fraction numerator negative 3 over denominator 4 end fraction end exponent

Answered by Expert 16th November 2016, 4:56 AM
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