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Beliebt Rechnen >

derivative y=a^3+cos^3(x)

Lösung

ableitung von

y = a^{3} + cos^{3} (x)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (a^{3} + cos^{3} (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (a^{3}) + \frac{d}{d x} (cos^{3} (x))

\frac{d}{d x} (a^{3}) = 0

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

= 0 - 3 cos^{2} (x) sin (x)

Vereinfache

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

Graph

Beliebte Beispiele

integral of 5/(x^2+8x+41)

\int \frac{5}{x ^{2} + 8 x + 41} d x

integral of 8sin^2(x)cos^3(x)

\int 8 sin^{2} (x) cos^{3} (x) d x

y=e^p(p+psqrt(p))

y = e^{p} (p + p p)

y^{''}-y^'+2y=e^x,y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} + 2 y = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

integral of-1/(2x^3)

\int - \frac{1}{2 x ^{3}} d x