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Beliebt Rechnen >

(\partial)/(\partial x)(x^2+sin(y)-0.4)

Lösung

\frac{\partial}{\partial x} (x^{2} + sin (y) - 0.4)

Lösung

2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + sin (y) - 0.4)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (sin (y)) - \frac{\partial}{\partial x} (0.4)

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

\frac{\partial}{\partial x} (sin (y)) = 0

\frac{\partial}{\partial x} (0.4) = 0

= 2 x + 0 - 0

Vereinfache

= 2 x

Beliebte Beispiele

(2xe^x-y+6x^2)dx-xdy=0

(2 x e^{x} - y + 6 x^{2}) d x - x d y = 0

steigung (7,-1),(0,-6)

s l o p e (7, - 1), (0, - 6)

integral of 1/(x-2)

\int \frac{1}{x - 2} d x

integral of 5/(usqrt(u^2-1))

\int \frac{5}{u u ^{2} - 1} d u

derivative f(t)= 9/(sqrt(t))

d er i v a t i v e f (t) = \frac{9}{t}