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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

- sin (a^{3} + x^{3}) \cdot 3 x^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= - sin (a^{3} + x^{3}) \cdot 3 x^{2}

Graph

Beliebte Beispiele

y^{''}+0.5y^'+4y=0

y^{^{''}} + 0.5 y^{^{'}} + 4 y = 0

integral of 6xsqrt(x+2)

\int 6 x x + 2 d x

integral of 8sqrt(x/4+1)

\int 8 \frac{x}{4} + 1 d x

derivative of 8x^2+x

\frac{d}{d x} (8 x^{2} + x)

sum from n=1 to infinity of (1/2)^{n-1}

n = 1 \sum \infty (\frac{1}{2})^{n - 1}