Bonjour,
[tex]f(x) = \frac{ \sqrt{ - 2x + 6} }{x } [/tex]
[tex]f(x) = \frac{d}{dx} ( \frac{ \sqrt{ - 2x + 6} }{x} )[/tex]
[tex]f(x) = \frac{ \frac{d}{dx} ( \sqrt{ - 2x + 6} )x - \sqrt{ - 2 x+ 6} \times \frac{d}{dx} (x)}{x {}^{2} } [/tex]
[tex]f(x) = \frac{ \frac{1}{2 \sqrt{ - 2x + 6} } \times ( - 2)x - \sqrt{ - 2x + 6} \times \frac{d}{dx} (x) }{x {}^{2} } [/tex]
[tex]f(x) = \frac{ \frac{1}{2 \sqrt{ - 2x + 6} } \times ( - 2)x - \sqrt{ - 2x + 6} \times 1 }{x {}^{2} } [/tex]
f(x) = x-6/ √-2x+6 x²
Bonne journée.
