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Beliebt Rechnen >

derivative of (x^2-3x^5)

Lösung

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

Lösung

5 (x^{2} - 3 x)^{4} (2 x - 3)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= 5 (x^{2} - 3 x)^{4} \frac{d}{d x} (x^{2} - 3 x)

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

= 5 (x^{2} - 3 x)^{4} (2 x - 3)

Graph

Beliebte Beispiele

(12x^2+y-1)dx-(6y-x)dy=0,y(1)=0

(12 x^{2} + y - 1) d x - (6 y - x) d y = 0, y (1) = 0

derivative of e^{2x+3y}

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

implicit (dy)/(dx),y=5^x

im pl i c i t \frac{d y}{d x}, y = 5^{x}

derivative of sqrt(16x^2+9)

\frac{d}{d x} (16 x^{2} + 9)

integral from-1 to 1 of 1.5x^3

\int_{- 1}^{1} 1.5 x^{3} d x