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d/dy(y²siny) derivatives product rule
Asked by suryanshishrivastava203 | 02 Aug, 2023, 18:12: PM
answered-by-expert Expert Answer
Product rule for differentiation of product of two functions f(y) and g(y) is
 
begin mathsize 14px style fraction numerator d over denominator d y end fraction left square bracket space f left parenthesis y right parenthesis space g left parenthesis y right parenthesis space right square bracket space equals space fraction numerator d f over denominator d y end fraction g left parenthesis y right parenthesis space plus space f left parenthesis y right parenthesis space fraction numerator d g over denominator d y end fraction end style
 
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begin mathsize 14px style fraction numerator d over denominator d y end fraction left square bracket space y squared space sin y space right square bracket space equals space fraction numerator d over denominator d y end fraction left parenthesis space y squared space right parenthesis space sin y space plus space y squared space fraction numerator d over denominator d y end fraction left parenthesis space sin y space right parenthesis end style
 
begin mathsize 14px style equals space 2 y space sin y space plus space y squared space cos y end style
Answered by Thiyagarajan K | 03 Aug, 2023, 14:39: PM

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