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Beliebt Rechnen >

derivative of (3x^2-6x-sin(x)^4)

Lösung

\frac{d}{d x} ((3 x^{2} - 6 x - sin (x))^{4})

Lösung

4 (3 x^{2} - 6 x - sin (x))^{3} (6 x - 6 - cos (x))

Schritte zur Lösung

\frac{d}{d x} ((3 x^{2} - 6 x - sin (x))^{4})

Wende die Kettenregel an:

4 (3 x^{2} - 6 x - sin (x))^{3} \frac{d}{d x} (3 x^{2} - 6 x - sin (x))

= 4 (3 x^{2} - 6 x - sin (x))^{3} \frac{d}{d x} (3 x^{2} - 6 x - sin (x))

\frac{d}{d x} (3 x^{2} - 6 x - sin (x)) = 6 x - 6 - cos (x)

= 4 (3 x^{2} - 6 x - sin (x))^{3} (6 x - 6 - cos (x))

Graph

Beliebte Beispiele

integral from x to 2 of 1

\int_{x}^{2} 1 d x

integral of sin(2/x)

\int sin (\frac{2}{x}) d x

integral from 0 to 3 of (6x-x^2)

\int_{0}^{3} (6 x - x^{2}) d x

(\partial)/(\partial x)(xy+3x)

\frac{\partial}{\partial x} (x y + 3 x)

(1 + 4 x^{2}) y^{^{'}} = 1