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Beliebt Rechnen >

derivative of e^{cos^2(x})

Lösung

\frac{d}{d x} (e^{c o s^{2} (x)})

Lösung

- e^{c o s^{2} (x)} sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (e^{c o s^{2} (x)})

Wende die Kettenregel an:

e^{c o s^{2} (x)} \frac{d}{d x} (cos^{2} (x))

= e^{c o s^{2} (x)} \frac{d}{d x} (cos^{2} (x))

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

= e^{c o s^{2} (x)} (- sin (2 x))

Vereinfache

= - e^{c o s^{2} (x)} sin (2 x)

Graph

Beliebte Beispiele

derivative of 5ln(x+cos(x))

\frac{d}{d x} (5 ln (x) + cos (x))

integral of 1/(sqrt(x^2+14x))

\int \frac{1}{x ^{2} + 14 x} d x

integral of e^{2u}

\int e^{2 u} d u

maclaurin e^x*sin(2x)

ma c l a u r in e^{x} \cdot sin (2 x)

laplacetransform f(t)=t^2+6t-3

l a pl a ce t r an s f or m f (t) = t^{2} + 6 t - 3