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Beliebt Rechnen >

derivative f(x)=x^7-1(x)

Lösung

ableitung von

f (x) = x^{7} - 1 (x)

Lösung

7 x^{6} - 1

Schritte zur Lösung

\frac{d}{d x} (x^{7} - 1 \cdot x)

Vereinfache

x^{7} - 1 \cdot x : x^{7} - x

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 7 x^{6} - 1

Graph

Beliebte Beispiele

integral of rsqrt(2-r^2)

\int r 2 - r^{2} d r

integral of 1/((4x+1)sqrt(16x^2+4))

\int \frac{1}{( 4 x + 1 ) 16 x ^{2} + 4} d x

tangent f(x)=-1-8x^2,\at x=-2

t an g e n t f (x) = - 1 - 8 x^{2}, at x = - 2

integral from 0 to 1 of (x)-(x^2)

\int_{0}^{1} (x) - (x^{2}) d x

integral of (x-7)^2

\int (x - 7)^{2} d x