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Beliebt Rechnen >

derivative of (4+2x^2^7)

Lösung

\frac{d}{d x} ((4 + 2 x^{2})^{7})

Lösung

28 x (4 + 2 x^{2})^{6}

Schritte zur Lösung

\frac{d}{d x} ((4 + 2 x^{2})^{7})

Wende die Kettenregel an:

7 (4 + 2 x^{2})^{6} \frac{d}{d x} (4 + 2 x^{2})

= 7 (4 + 2 x^{2})^{6} \frac{d}{d x} (4 + 2 x^{2})

\frac{d}{d x} (4 + 2 x^{2}) = 4 x

= 7 (4 + 2 x^{2})^{6} \cdot 4 x

Vereinfache

= 28 x (4 + 2 x^{2})^{6}

Graph

Beliebte Beispiele

integral of (4sin(2x)-3cos(3x))

\int (4 sin (2 x) - 3 cos (3 x)) d x

(dy)/(dt)=y^3,y(0)=1

\frac{d y}{d t} = y^{3}, y (0) = 1

derivative of (432/x)

\frac{d}{d x} (\frac{432}{x})

integral of (4x^2-7x-12)/(x(x+2)(x-3))

\int \frac{4 x ^{2} - 7 x - 12}{x ( x + 2 ) ( x - 3 )} d x

t a y l or x^{3}, 3