Dériver un quotient de fonctions affine, carré, cube, inverse, racine carrée et puissanceExercice

\forall x \in \mathbb{R}^* ,  f'(x) = 2

\forall x \in \mathbb{R}^* ,  f'(x) = \dfrac{4x+3}{x^2}

\forall x \in \mathbb{R}^* ,  f'(x) = 4x+3

\forall x \in \mathbb{R}^* ,  f'(x) = -\dfrac{3}{x^2}

\forall x \in \mathbb{R}\backslash\{4\} , f'(x) = \frac{-x^2+8x−5}{(-x+4)^2}

\forall x \in \mathbb{R}\backslash\{4\} , f'(x)= \frac{−5}{(-x+4)^2}

\forall x \in \mathbb{R}\backslash\{4\} , f'(x) = \frac{8x−5}{(-x+4)^2}

\forall x \in \mathbb{R}\backslash\{4\} , f'(x) = \frac{−2x^2+10x−8}{(-x+4)^2}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{\frac{3}{2}\sqrt{x}-\frac{5}{2\sqrt{x}}}{x}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{3x−5}{2x\sqrt{x}}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{−5}{x\sqrt{x}}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{-\frac{5}{\sqrt{x}}}{x}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{5x^4}{x^8\sqrt{x}}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{1}{4x^3\sqrt{x}}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{−5x^4}{x^8\sqrt{x}}

\forall x \in \mathbb{R}^*_+ , f'(x)= \frac{−7}{x^8\sqrt{x}}

\forall x \in \mathbb{R}\backslash\{0;−2\} , f'(x)= \frac{−2x^2−2x+4}{x^2(2x+4)^2}

\forall x \in \mathbb{R}\backslash\{0;−2\} , f'(x)= \frac{x^2+x+2}{x^2(x+2)^2}

\forall x \in \mathbb{R}\backslash\{0;−2\} , f'(x)= \frac{x+1}{x^2(x+2)^2}

\forall x \in \mathbb{R}\backslash\{0;−2\} , f'(x)= \frac{x+1}{2x^2(x+2)^2}