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Beliebt Rechnen >

derivative of (3x-x^3+1^4)

Lösung

\frac{d}{d x} ((3 x - x^{3} + 1)^{4})

Lösung

4 (3 x - x^{3} + 1)^{3} (- 3 x^{2} + 3)

Schritte zur Lösung

\frac{d}{d x} ((3 x - x^{3} + 1)^{4})

Wende die Kettenregel an:

4 (3 x - x^{3} + 1)^{3} \frac{d}{d x} (3 x - x^{3} + 1)

= 4 (3 x - x^{3} + 1)^{3} \frac{d}{d x} (3 x - x^{3} + 1)

\frac{d}{d x} (3 x - x^{3} + 1) = - 3 x^{2} + 3

= 4 (3 x - x^{3} + 1)^{3} (- 3 x^{2} + 3)

Graph

Beliebte Beispiele

integral of (40-2/(sec(θ)))

\int (40 - \frac{2}{sec ( θ )}) d θ

(5+x^8)(dy}{dx}=\frac{x^7)/y

(5 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

limit as x approaches 2 of 3

x \to 2 lim (3)

sum from n=0 to infinity of (100)/n

n = 0 \sum \infty \frac{100}{n}

tangent f(x)= 4/(sqrt(x)),\at x= 1/4

t an g e n t f (x) = \frac{4}{x}, at x = \frac{1}{4}