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Beliebt Rechnen >

derivative \sqrt[7]{x^6}-x^{sqrt(2)}

Lösung

ableitung von

7 x^{6} - x^{2}

Lösung

\frac{6 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}} - 2 x^{2 - 1}

Schritte zur Lösung

\frac{d}{d x} (7 x^{6} - x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 x^{6}) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (7 x^{6}) = \frac{6 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}}

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

= \frac{6 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}} - 2 x^{2 - 1}

Graph

Beliebte Beispiele

limit as x approaches 6 of 8x^2-3x+1

x \to 6 lim (8 x^{2} - 3 x + 1)

limit as x approaches-5+of (5x)/(x+5)

x \to - 5 + lim (\frac{5 x}{x + 5})

tangent f(x)=2x^2-9x+10

t an g e n t f (x) = 2 x^{2} - 9 x + 10

f^'(x)=6sqrt(x)+12^{3/4}

f^{^{'}} (x) = 6 x + 1 2^{\frac{3}{4}}

integral of (e^x-e^{-x})^2

\int (e^{x} - e^{- x})^{2} d x