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Beliebt Rechnen >

(\partial)/(\partial x)(e^{cos(x)})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (cos (x)) = - sin (x)

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

Vereinfache

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

Beliebte Beispiele

derivative of (8x+9(9x-10))

\frac{d}{d x} ((8 x + 9) (9 x - 10))

integral of x^2-4x+4

\int x^{2} - 4 x + 4 d x

(dy)/(dx)=(cos(12x))/(e^{12y)}

\frac{d y}{d x} = \frac{cos ( 12 x )}{e ^{12 y}}

integral from 1 to 2 of (15)/(x^3+5x)

\int_{1}^{2} \frac{15}{x ^{3} + 5 x} d x

vereinfachen xL(x)-x

s im pl i f y xL (x) - x