Question

найти производную функции​

Answer 1

$y '= \frac{1}{1 + {( \sqrt{4 {x}^{2} + 1)} }^{2} } \times \frac{1}{ 2\sqrt{4 {x}^{2} + 1} } \times 8x = \\ = \frac{4x}{(4 {x}^{2} + 2) \sqrt{4 {x}^{2} + 1} } = \\ = \frac{2x}{(2 {x}^{2} + 1) \sqrt{4 {x}^{2} + 1} }$