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Beliebt Rechnen >

derivative of cos(5x^2)

Lösung

\frac{d}{d x} (cos (5 x^{2}))

Lösung

- sin (5 x^{2}) \cdot 10 x

Schritte zur Lösung

\frac{d}{d x} (cos (5 x^{2}))

Wende die Kettenregel an:

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

= - sin (5 x^{2}) \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (5 x^{2}) = 10 x

= - sin (5 x^{2}) \cdot 10 x

Graph

Beliebte Beispiele

derivative 4sin^2(0.5t)+1

d er i v a t i v e 4 sin^{2} (0.5 t) + 1

tangent f(x)=3sqrt(x),\at x=4

t an g e n t f (x) = 3 x, at x = 4

integral of (sqrt(4x^2-49))/(x^3)

\int \frac{4 x ^{2} - 49}{x ^{3}} d x

derivative x/(5x+2)

d er i v a t i v e \frac{x}{5 x + 2}

integral of (6e^{6t})/(3+e^{6t)}

\int \frac{6 e ^{6 t}}{3 + e ^{6 t}} d t