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Beliebt Rechnen >

(\partial)/(\partial x)(cos(x^2y^2))

Lösung

\frac{\partial}{\partial x} (cos (x^{2} y^{2}))

Lösung

- sin (x^{2} y^{2}) \cdot 2 y^{2} x

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (x^{2} y^{2}))

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (x^{2} y^{2}) \frac{\partial}{\partial x} (x^{2} y^{2})

= - sin (x^{2} y^{2}) \frac{\partial}{\partial x} (x^{2} y^{2})

\frac{\partial}{\partial x} (x^{2} y^{2}) = 2 y^{2} x

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

Beliebte Beispiele

d/(dt)(sin(3t))

\frac{d}{d t} (sin (3 t))

integral of \sqrt[3]{x+1}

\int 3 x + 1 d x

fläche y= 1/x ,y=0,x=1,x=e

a re a y = \frac{1}{x}, y = 0, x = 1, x = e

integral of 5/((81+x^2)^{3/2)}

\int \frac{5}{( 81 + x ^{2} ) ^{\frac{3}{2}}} d x

derivative 4/(x^6)

d er i v a t i v e \frac{4}{x ^{6}}