Question

What is the derivative of `sqrt(4+x^2)`?

Answer 1

`d/dx(sqrt(4+x^2))=x/(sqrt(x^2+4))`

Explanation:

Rewrite this as `(4+x^2)^(1/2)` by properties of exponents.

Now use the chain rule to differentiate.

`=> (1/2)(4+x^2)^(-1/2)(2x)`

`=>x(4+x^2)^(-1/2)`

This can also be written as `x/(sqrt(4+x^2))`