square root of e hat square root of x end root.?

Asked by Sindu Parkavi | 5th 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 | 6th Sep, 2016, 10:43: AM