Question

How do you find the second derivative of `ln(x^2+5)` ?

Answer 1

`(-2(x^2-5))/(x^2+5)^2`

Explanation:

Use natural logarithm derivative rules

`dy/dx =(2x)/(x^2+5)`

For second derivative use the quotient rule

`(d^2y)/(dx^2)= (-2(x^2-5))/(x^2+5)^2`