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Beliebt Rechnen >

derivative of (7+8x-4sqrt(x)/x)

Lösung

\frac{d}{d x} (\frac{7 + 8 x - 4 x}{x})

Lösung

\frac{2 x - 7}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{7 + 8 x - 4 x}{x})

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 7 + 8 x - 4 x ) x - \frac{d x}{d x} ( 7 + 8 x - 4 x )}{x ^{2}}

\frac{d}{d x} (7 + 8 x - 4 x) = - \frac{2}{x} + 8

\frac{d x}{d x} = 1

= \frac{( - \frac{2}{x} + 8 ) x - 1 \cdot ( 7 + 8 x - 4 x )}{x ^{2}}

Vereinfache

\frac{( - \frac{2}{x} + 8 ) x - 1 \cdot ( 7 + 8 x - 4 x )}{x ^{2}} : \frac{2 x - 7}{x ^{2}}

= \frac{2 x - 7}{x ^{2}}

Graph

Beliebte Beispiele

integral of (sqrt(484-x^2))/x

\int \frac{484 - x ^{2}}{x} d x

fläche x^3,x+6=y,(-x)/2 =y

a re a x^{3}, x + 6 = y, \frac{- x}{2} = y

(\partial)/(\partial y)(ln(sqrt(xy)))

\frac{\partial}{\partial y} (ln (x y))

integral of (1/(xsqrt(x^2-1)))

\int (\frac{1}{x x ^{2} - 1}) d x

y^{''}+4y^'+5y=-5x+3e^{-x}

y^{^{''}} + 4 y^{^{'}} + 5 y = - 5 x + 3 e^{- x}