CBSE Class 11-science Answered

2cotx/ root x differentiation

Asked by ankitkanjilal409 | 30 Dec, 2022, 08:25: PM

Expert Answer

begin mathsize 14px style L e t space y space equals space fraction numerator 2 space c o t x over denominator square root of x end fraction end style

Let us use the formula

begin mathsize 14px style fraction numerator d over denominator d x end fraction open parentheses u over v close parentheses space equals space fraction numerator v space begin display style fraction numerator d u over denominator d x end fraction end style space minus space u begin display style fraction numerator d v over denominator d x end fraction end style over denominator v squared end fraction end style

begin mathsize 14px style fraction numerator d y over denominator d x end fraction space equals 2 space open parentheses fraction numerator square root of x space left parenthesis negative cos e c squared x right parenthesis space minus space c o t x space stretchy left parenthesis fraction numerator 1 over denominator 2 square root of x end fraction stretchy right parenthesis over denominator x end fraction close parentheses space end style

begin mathsize 14px style fraction numerator d y over denominator d x end fraction space equals space fraction numerator 2 x space left parenthesis negative cos e c squared x right parenthesis space minus space c o t x space over denominator x square root of x end fraction space equals space minus open parentheses fraction numerator 2 space x space cos e c squared x plus c o t x over denominator x square root of x end fraction close parentheses end style

Answered by Thiyagarajan K | 30 Dec, 2022, 09:58: PM

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