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Beliebt Rechnen >

derivative of 25ln(x^2-x^2)

Lösung

\frac{d}{d x} (25 ln (x^{2}) - x^{2})

Lösung

\frac{50}{x} - 2 x

Schritte zur Lösung

\frac{d}{d x} (25 ln (x^{2}) - x^{2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (25 ln (x^{2})) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (25 ln (x^{2})) = \frac{50}{x}

\frac{d}{d x} (x^{2}) = 2 x

= \frac{50}{x} - 2 x

Graph

Beliebte Beispiele

integral from 1 to 4 of x

\int_{1}^{4} x d x

integral of e^{-5x}x

\int e^{- 5 x} x d x

implicit (dy)/(dx),x^{2/3}+y^{2/3}=3

im pl i c i t \frac{d y}{d x}, x^{\frac{2}{3}} + y^{\frac{2}{3}} = 3

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

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

integral of x^6ln(x)

\int x^{6} ln (x) d x