derivative of (3+4x-x^2^{1/2})

Lösung

\frac{d}{d x} ((3 + 4 x - x^{2})^{\frac{1}{2}})

\frac{- x + 2}{( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{d}{d x} ((3 + 4 x - x^{2})^{\frac{1}{2}})

Wende die Kettenregel an:

\frac{1}{2 ( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}} \frac{d}{d x} (3 + 4 x - x^{2})

= \frac{1}{2 ( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}} \frac{d}{d x} (3 + 4 x - x^{2})

\frac{d}{d x} (3 + 4 x - x^{2}) = - 2 x + 4

= \frac{1}{2 ( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}} (- 2 x + 4)

Vereinfache

\frac{1}{2 ( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}} (- 2 x + 4) : \frac{- x + 2}{( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}}

= \frac{- x + 2}{( 3 + 4 x - x ^{2} ) ^{\frac{1}{2}}}

\frac{d}{d x} (lo g_{e} (tan (x)))

\int - \frac{1}{2 x} d x

t an g e n t \frac{6 x}{4 - x ^{2}}, at x = 0

\frac{d}{d x} (4 7 x^{2} + 9)

\frac{\partial}{\partial x} (4 ln (\frac{2 x y}{7 z}))