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Beliebt Rechnen >

derivative of cos^4(2x^3-5)

Lösung

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

Lösung

- 24 x^{2} cos^{3} (2 x^{3} - 5) sin (2 x^{3} - 5)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (2 x^{3} - 5)) = - sin (2 x^{3} - 5) \cdot 6 x^{2}

= 4 (cos (2 x^{3} - 5))^{3} (- sin (2 x^{3} - 5) \cdot 6 x^{2})

Vereinfache

= - 24 x^{2} cos^{3} (2 x^{3} - 5) sin (2 x^{3} - 5)

Graph

Beliebte Beispiele

integral of (5-2x^2)/(y^2)

\int \frac{5 - 2 x ^{2}}{y ^{2}} d y

integral of sin(10x)

\int sin (10 x) d x

fläche y=x(x+3)(x-4),x=0

a re a y = x (x + 3) (x - 4), x = 0

(5 e^{x})^{^{'}}

limit as x approaches 0 of 1/(tan(x))

x \to 0 lim (\frac{1}{tan ( x )})