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Beliebt Rechnen >

derivative of cos(x^{sin(x}))

Lösung

\frac{d}{d x} (cos (x^{s i n (x)}))

Lösung

- sin (x^{s i n (x)}) x^{s i n (x)} (cos (x) ln (x) + \frac{sin ( x )}{x})

Schritte zur Lösung

\frac{d}{d x} (cos (x^{s i n (x)}))

Wende die Kettenregel an:

- sin (x^{s i n (x)}) \frac{d}{d x} (x^{s i n (x)})

= - sin (x^{s i n (x)}) \frac{d}{d x} (x^{s i n (x)})

\frac{d}{d x} (x^{s i n (x)}) = x^{s i n (x)} (cos (x) ln (x) + \frac{sin ( x )}{x})

= - sin (x^{s i n (x)}) x^{s i n (x)} (cos (x) ln (x) + \frac{sin ( x )}{x})

Graph

Beliebte Beispiele

derivative of x^4-50x^2

\frac{d}{d x} (x^{4} - 50 x^{2})

(\partial)/(\partial x)(2x^2+2y-8)

\frac{\partial}{\partial x} (2 x^{2} + 2 y - 8)

tangent f(x)=sqrt(5x+6),(2,4)

t an g e n t f (x) = 5 x + 6, (2, 4)

derivative of sin(2x+3ln(e)+4sqrt(x))

\frac{d}{d x} (sin (2 x) + 3 ln (e) + 4 x)

steigung (4,2),(3,-1)

s l o p e (4, 2), (3, - 1)