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Beliebt Rechnen >

derivative of (1+2x^{10})

Lösung

\frac{d}{d x} ((1 + 2 x)^{10})

Lösung

20 (1 + 2 x)^{9}

Schritte zur Lösung

\frac{d}{d x} ((1 + 2 x)^{10})

Wende die Kettenregel an:

10 (1 + 2 x)^{9} \frac{d}{d x} (1 + 2 x)

= 10 (1 + 2 x)^{9} \frac{d}{d x} (1 + 2 x)

\frac{d}{d x} (1 + 2 x) = 2

= 10 (1 + 2 x)^{9} \cdot 2

Vereinfache

= 20 (1 + 2 x)^{9}

Graph

Beliebte Beispiele

(1 - x^{2}) y^{^{'}} = 2 y

integral from 0 to 3 of 1/(9+x^2)

\int_{0}^{3} \frac{1}{9 + x ^{2}} d x

tangent x^2-tan(x)

t an g e n t x^{2} - tan (x)

implicit (dy)/(dx),x^2-y^2=64

im pl i c i t \frac{d y}{d x}, x^{2} - y^{2} = 64

derivative of sec(pi/4)

\frac{d}{d x} (sec (\frac{π}{4}))