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Beliebt Rechnen >

derivative of (x^5/(a+b)-(x^2)/(a-b))

Lösung

\frac{d}{d x} (\frac{x ^{5}}{a + b} - \frac{x ^{2}}{a - b})

Lösung

\frac{5 x ^{4}}{a + b} - \frac{2 x}{a - b}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{5}}{a + b} - \frac{x ^{2}}{a - b})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{5}}{a + b}) - \frac{d}{d x} (\frac{x ^{2}}{a - b})

\frac{d}{d x} (\frac{x ^{5}}{a + b}) = \frac{5 x ^{4}}{a + b}

\frac{d}{d x} (\frac{x ^{2}}{a - b}) = \frac{2 x}{a - b}

= \frac{5 x ^{4}}{a + b} - \frac{2 x}{a - b}

Graph

Beliebte Beispiele

derivative of 1/(-2x^2)

sum from n=0 to infinity of (2x)^n

tangent f(x)=x2^x

steigung (-2.3)(2.2)

limit as x approaches 0-of x*arctan(1/x)