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Beliebt Rechnen >

(\partial)/(\partial x)(cos(x+e^y))

Lösung

\frac{\partial}{\partial x} (cos (x + e^{y}))

Lösung

- sin (x + e^{y})

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (x + e^{y}))

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (x + e^{y}) \frac{\partial}{\partial x} (x + e^{y})

= - sin (x + e^{y}) \frac{\partial}{\partial x} (x + e^{y})

\frac{\partial}{\partial x} (x + e^{y}) = 1

= - sin (x + e^{y}) \cdot 1

Vereinfache

= - sin (x + e^{y})

Beliebte Beispiele

integral of (9sqrt(x))/(x-1)

\int \frac{9 x}{x - 1} d x

tangent y=3x^2-12x+1,(0,1)

t an g e n t y = 3 x^{2} - 12 x + 1, (0, 1)

derivative f(x)=sqrt(x^2+2)

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

derivative of (x^2-3/(x+1))

\frac{d}{d x} (\frac{x ^{2} - 3}{x + 1})

derivative of \sqrt[7]{x}-7/x

\frac{d}{d x} (7 x - \frac{7}{x})