Verified answer

Ответ:

[tex]y = \frac{ {x}^{2} + 2x + 25 }{2x + 2} [/tex]

[tex]y = \frac{d}{dx}( \frac{ {x}^{2} + 2x + 25 }{2x + 2} ) [/tex]

[tex]y = \frac{ \frac{d}{dx}( {x}^{2} + 2x + 25) \times (2x + 2) - ( {x}^{2} + 2x + 25) \times \frac{d}{dx} (2x + 2) }{(2x + 2 {)}^{2} } [/tex]

[tex]y = \frac{(2x + 2) \times (2x + 2) - ( {x}^{2} + 2x + 25) \times 2 }{(2x + 2 {)}^{2} } [/tex]

[tex]y = \frac{2 {x}^{2} + 4x - 46 }{(2x + 2 {)}^{2} } [/tex]