[tex]y = \sqrt{ {2}^{x} } - 5x + 6[/tex]

[tex]y = \frac{d}{dx} ( \sqrt{ {2}^{x} } - 5x + 6) [/tex]

[tex]y = \frac{d}{dx} ( \sqrt{ {2}^{x} }) + \frac{d}{dx}( - 5x) + \frac{d}{x}(6) [/tex]

[tex]y = \frac{1}{2 \sqrt{ {2}^{x} } } \times ln(2) \times {2}^{x} - 5 + 0 [/tex]

[tex]y = ln(2) \times {2}^{ \frac{1}{2} x - 1} - 5 [/tex]