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T h e space d e r i v a t i v e space o f space t h e space f u n c t i o n space f left parenthesis x right parenthesis equals 10 x to the power of 3 over 5 end exponent minus x to the power of 7 over 2 end exponent plus 6 x to the power of 8 over 3 end exponent minus 3 space i s space 6 x to the power of a minus 7 over 2 x to the power of b plus 16 x to the power of 5 over 3 end exponent
f i n d space t h e space v a l u e space o f space a plus b plus c ?
space

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Asked by Topperlearning User 16th November 2016, 3:05 AM
Answered by Expert
Answer:

f left parenthesis x right parenthesis equals 10 x to the power of 3 over 5 end exponent minus x to the power of 7 over 2 end exponent plus 6 x to the power of 8 over 3 end exponent minus 3 space
fraction numerator d over denominator d x end fraction space f left parenthesis x right parenthesis
equals fraction numerator d over denominator d x end fraction 10 x to the power of 3 over 5 end exponent minus fraction numerator d over denominator d x end fraction x to the power of 7 over 2 end exponent plus fraction numerator d over denominator d x end fraction 6 x to the power of 8 over 3 end exponent minus fraction numerator d over denominator d x end fraction 3 space
equals 30 over 5 x to the power of fraction numerator negative 2 over denominator 5 end fraction end exponent minus 7 over 2 x to the power of 5 over 2 end exponent plus 48 over 3 x to the power of 5 over 3 end exponent
equals 6 x to the power of fraction numerator negative 2 over denominator 5 end fraction end exponent minus 7 over 2 x to the power of 5 over 2 end exponent plus 16 x to the power of 5 over 3 end exponent
o n space c o m p a r i n g space w e space g e t space a equals fraction numerator negative 2 over denominator 5 end fraction space comma space b equals 5 over 2 space comma space c equals 5 over 3
a plus b plus c equals 113 divided by 30

Answered by Expert 16th November 2016, 5:05 AM
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