Question

Differentiate the function.

h(x) = ln (x+ sqr(x^2-11)

Answer 1

h'(x) = (1 + (1/2)(x^2 - 11)^(-1/2) (2x) )/(x + (x^2-11)^1/2

(1 + (x^2 - 11)^(-1/2)) / (x+(x^2 - 11)^(1/2)