Question

Differentiation of (√a2-x2)/(√a2+x2)

Answer 1

Change the eqn to another form (1−x2)1/2(1−x2)1/2

Use chain rule.

dydx=12(1−x2)−1/2(−2x)dydx=12(1−x2)−1/2(−2x)
dydx=−2x21−x2−−−−−√dydx=−2x21−x2
dydx=−x1−x2−−−−−√