Question

$$\sqrt{x^{2}+4x+13}+\sqrt{x^{2}+4x+5}-21$$

Evaluate

$\sqrt{x^{2}+4x+5}+\sqrt{x^{2}+4x+13}-21$

Differentiate w.r.t. x

$\frac{\left(x+2\right)\left(\sqrt{x^{2}+4x+5}+\sqrt{x^{2}+4x+13}\right)}{\sqrt{\left(x^{2}+4x+5\right)\left(x^{2}+4x+13\right)}}$