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CBSE Class 12-science Answered

Find the derivative of log|-x|?
Asked by sdmbotch1123 | 21 Dec, 2022, 04:38: PM
Expert Answer
Let x  > 0.
 
Then begin mathsize 14px style fraction numerator d over denominator d x end fraction log open vertical bar negative x close vertical bar space equals space fraction numerator 1 over denominator negative x end fraction cross times left parenthesis negative 1 right parenthesis space equals space 1 divided by x end style
 
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Let x < 0
 
Then  begin mathsize 14px style fraction numerator d over denominator d x end fraction log open vertical bar negative x close vertical bar space equals space fraction numerator d over denominator d x end fraction l g left parenthesis x right parenthesis space equals space 1 over x space end style
 
 
Hence begin mathsize 14px style fraction numerator d over denominator d x end fraction log open vertical bar negative x close vertical bar space equals space 1 divided by x space space space i f space x not equal to 0 end style
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Answered by Thiyagarajan K | 21 Dec, 2022, 08:29: PM

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