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Beliebt Rechnen >

derivative (x^4+7x^2-3)^4

Lösung

ableitung von

(x^{4} + 7 x^{2} - 3)^{4}

Lösung

4 (x^{4} + 7 x^{2} - 3)^{3} (4 x^{3} + 14 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x^{4} + 7 x^{2} - 3) = 4 x^{3} + 14 x

= 4 (x^{4} + 7 x^{2} - 3)^{3} (4 x^{3} + 14 x)

Graph

Beliebte Beispiele

tangent f(x)= 5/(x^2),\at x=1

t an g e n t f (x) = \frac{5}{x ^{2}}, at x = 1

integral of (x-1)/(x^2+3x+2)

\int \frac{x - 1}{x ^{2} + 3 x + 2} d x

(dy)/(dx)=(3y)^{1/2}e^{x+10}

\frac{d y}{d x} = (3 y)^{\frac{1}{2}} e^{x + 10}

integral from-1 to 1 of (x^3-9x)

\int_{- 1}^{1} (x^{3} - 9 x) d x

limit as x approaches 0 of 1/x sin(x/3)

x \to 0 lim (\frac{1}{x} sin (\frac{x}{3}))