Mathématiques

Question

Bonjour je dois resoudre ces derives
[tex]f(x)=\frac{6\,x-8\,x^2}{7\,x^2-5\,x+4}[/tex]
[tex]f(x)=-3\,x + \frac{-1}{(9-6\,x)}[/tex]
[tex]f(x)=\frac{5\,x+9}{\sqrt{x}}[/tex]
Merci

1 Réponse

  • f(x)=(6x-8x²)/(7x²-5x+4)
    f'(x)=((6-16x)(7x²-5x+4)-(6x-8x²)(14x-5))/(7x²-5x+4)²
         =-2(x²+32x-12)/(7x²-5x+4)²

    g(x)=-3x+1/(6x-9)
    g'(x)=-3-6/(6x-9)²

    h(x)=(5x+9)/√x
    h'(x)=(5√x-(5x+9)/(2√x))/(x)
         =(5x-9)/(2x√x)

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