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Beliebt Rechnen >

derivative of (5-3x^3)

Lösung

\frac{d}{d x} ((5 - 3 x)^{3})

Lösung

- 9 (5 - 3 x)^{2}

Schritte zur Lösung

\frac{d}{d x} ((5 - 3 x)^{3})

Wende die Kettenregel an:

3 (5 - 3 x)^{2} \frac{d}{d x} (5 - 3 x)

= 3 (5 - 3 x)^{2} \frac{d}{d x} (5 - 3 x)

\frac{d}{d x} (5 - 3 x) = - 3

= 3 (5 - 3 x)^{2} (- 3)

Vereinfache

= - 9 (5 - 3 x)^{2}

Graph

Beliebte Beispiele

derivative e^{6e^x}

d er i v a t i v e e^{6 e^{x}}

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

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

derivative of x^4+x^3+x^2+1

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)

integral of (2x+3)/(sqrt(x))

\int \frac{2 x + 3}{x} d x

tangent f(x)=4-x^2,(-1,3)

t an g e n t f (x) = 4 - x^{2}, (- 1, 3)