Pls solve using Log Q Differentiate wrt x : a+x+a-xa+x-a-x - Maths - Continuity and Differentiability

Question

Pls solve using Log
Q Differentiate wrt x : a + x + a - x a + x - a - x

Brijendra Pal · Accepted Answer

Hi, Let y = a+x+a-xa+x-a-x×a+x+a-xa+x+a-x=a+x+a-x2a+x2-a-x2=a+x+a-x+2a2-x2a+x-a+x=2a+2a2-x22x = a+a2-x2xso dydx= xddxa+a2-x2-a+a2-x2ddxxx2= x×-2x2a2-x2-a+a2-x2x2=-x2a2-x2-a+a2-x2x2

Pls solve using Log Q. Differentiate wrt x : a + x + a - x a + x - a - x

Pls solve using Log
Q. Differentiate wrt x : $\frac{\sqrt{a + x} + \sqrt{a - x}}{\sqrt{a + x} - \sqrt{a - x}}$