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Beliebt Rechnen >

derivative cos(4-9x^2)

Lösung

ableitung von

cos (4 - 9 x^{2})

Lösung

18 x sin (4 - 9 x^{2})

Schritte zur Lösung

\frac{d}{d x} (cos (4 - 9 x^{2}))

Wende die Kettenregel an:

- sin (4 - 9 x^{2}) \frac{d}{d x} (4 - 9 x^{2})

= - sin (4 - 9 x^{2}) \frac{d}{d x} (4 - 9 x^{2})

\frac{d}{d x} (4 - 9 x^{2}) = - 18 x

= - sin (4 - 9 x^{2}) (- 18 x)

Vereinfache

= 18 x sin (4 - 9 x^{2})

Graph

Beliebte Beispiele

derivative of (2x+5/(x^2-1))

\frac{d}{d x} (\frac{2 x + 5}{x ^{2} - 1})

derivative f(x)=2x^3+1

d er i v a t i v e f (x) = 2 x^{3} + 1

tangent f(x)=-3x^4

t an g e n t f (x) = - 3 x^{4}

derivative y=(cos(7x))^x

d er i v a t i v e y = (cos (7 x))^{x}

kgv (x+6)/5 ,sqrt(|x|)

l c m \frac{x + 6}{5}, ∣ x ∣