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CBSE Class 12-science Answered

<div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=36642706f8a63a20e6fc100461fd42bb.png" alt="square root of e hat square root of x end root" align="middle" />.?</div>
Asked by Sindu Parkavi | 05 Sep, 2016, 08:08: PM
Expert Answer
fraction numerator d over denominator d x end fraction open parentheses square root of e to the power of square root of x end exponent end root close parentheses
L e t space e to the power of square root of x end exponent space equals space u

fraction numerator d over denominator d x end fraction open parentheses square root of e to the power of square root of x end exponent end root close parentheses equals fraction numerator d over denominator d x end fraction open parentheses square root of u close parentheses
space space space space space space space space space space space space space space space space space equals fraction numerator 1 over denominator 2 square root of u end fraction fraction numerator d over denominator d x end fraction open parentheses u close parentheses
space space space space space space space space space space space space space space space space space equals fraction numerator 1 over denominator 2 square root of e to the power of square root of x end exponent end root end fraction fraction numerator d over denominator d x end fraction open parentheses e to the power of square root of x end exponent close parentheses
space space space space space space space space space space space space space space space space space equals fraction numerator 1 over denominator 2 square root of e to the power of square root of x end exponent end root end fraction cross times e to the power of square root of x end exponent cross times fraction numerator d over denominator d x end fraction open parentheses square root of x close parentheses
space space space space space space space space space space space space space space space space space equals fraction numerator 1 over denominator 2 square root of e to the power of square root of x end exponent end root end fraction cross times e to the power of square root of x end exponent cross times fraction numerator 1 over denominator 2 square root of x end fraction
space space space space space space space space space space space space space space space space space equals fraction numerator e to the power of square root of x end exponent over denominator 4 square root of x square root of e to the power of square root of x end exponent end root end fraction
space space space space space space space space space space space space space space space space space equals fraction numerator e to the power of square root of x end exponent cross times open parentheses e to the power of square root of x end exponent close parentheses to the power of begin display style bevelled fraction numerator negative 1 over denominator 2 end fraction end style end exponent over denominator 4 square root of x end fraction
space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses e to the power of square root of x end exponent close parentheses to the power of begin display style bevelled 1 half end style end exponent over denominator 4 square root of x end fraction

space space space space space space space space space space space space space space space space space equals fraction numerator square root of e to the power of square root of x end exponent end root over denominator 4 square root of x end fraction
Answered by Vijaykumar Wani | 06 Sep, 2016, 10:43: AM
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