d/dx[log{e^x(x - 2)/(x + 2)^3/4}] equals A.(x^2 - 1)/(x^2 - 4) B. 1 C. (x^2 + 1)/(x^2 - 4) D. e^x(x^2 - 1)/(x^2 - 4)

Question

\(\cfrac{d}{d\text x}\)\(\Big[\)log\(\Big\{\)e^x\(\Big(\cfrac{\text x-2}{\text x+2}\Big)^{3/4}\Big\}\Big]\)equals

A.\(\cfrac{\text x^2-1}{\text x^2-4}\)

B. 1

C. \(\cfrac{\text x^2+1}{\text x^2-4}\)

D. e^x\(\cfrac{\text x^2+1}{\text x^2-4}\)

Answer 1

Correct option is  A.\(\cfrac{\text x^2-1}{\text x^2-4}\)  

 \(\cfrac{d}{d\text x}\)\(\Big[\)log\(\Big\{\)e^x\(\Big(\cfrac{\text x-2}{\text x+2}\Big)^{3/4}\Big\}\Big]\)