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Beliebt Rechnen >

(cos^3(x))^'

Lösung

(cos^{3} (x))^{^{'}}

Lösung

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

Schritte zur Lösung

(cos^{3} (x))^{'}

Wende die Kettenregel an:

3 (cos (x))^{2} (cos (x))^{'}

= 3 (cos (x))^{2} (cos (x))^{'}

(cos (x))^{'} = - sin (x)

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

Vereinfache

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

Graph

Beliebte Beispiele

tangent f(x)= 2/x ,\at x=-4

t an g e n t f (x) = \frac{2}{x}, at x = - 4

integral of (x^3)/(x^4-5)

\int \frac{x ^{3}}{x ^{4} - 5} d x

integral of (x^2-18x+32)/(x(x-4)^2)

\int \frac{x ^{2} - 18 x + 32}{x ( x - 4 ) ^{2}} d x

derivative f(x)=x^{2/5}

d er i v a t i v e f (x) = x^{\frac{2}{5}}

y^{^{''}} + 13 y = 0