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Beliebt Rechnen >

(\partial)/(\partial y)(4x^2+3cos(y))

Lösung

\frac{\partial}{\partial y} (4 x^{2} + 3 cos (y))

Lösung

- 3 sin (y)

Schritte zur Lösung

\frac{\partial}{\partial y} (4 x^{2} + 3 cos (y))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (4 x^{2}) + \frac{\partial}{\partial y} (3 cos (y))

\frac{\partial}{\partial y} (4 x^{2}) = 0

\frac{\partial}{\partial y} (3 cos (y)) = - 3 sin (y)

= 0 - 3 sin (y)

Vereinfache

= - 3 sin (y)

Beliebte Beispiele

derivative of x^2+4/x

\frac{d}{d x} (x^{2} + \frac{4}{x})

(\partial)/(\partial x)(ln(3x+3cy))

\frac{\partial}{\partial x} (ln (3 x + 3 cy))

derivative cos(5pix)

d er i v a t i v e cos (5 π x)

derivative (5-x^2)/(5+x^2)

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

implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0)

im pl i c i t \frac{d y}{d x}, arctan (x y) = arcsin (4 x + 4 y), (0, 0)