de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(x^2-5xy+3y^2+x-4y)

Lösung

\frac{\partial}{\partial x} (x^{2} - 5 x y + 3 y^{2} + x - 4 y)

Lösung

2 x + 1 - 5 y

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} - 5 x y + 3 y^{2} + x - 4 y)

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

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

\frac{\partial}{\partial x} (5 x y) = 5 y

\frac{\partial}{\partial x} (3 y^{2}) = 0

\frac{\partial}{\partial x} (x) = 1

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

= 2 x - 5 y + 0 + 1 - 0

Vereinfache

= 2 x + 1 - 5 y

Beliebte Beispiele

integral of (xsqrt(x^4))

\int (x x^{4}) d x

y^{'''}-5y^{''}+8y^'+14y=0

y^{^{'''}} - 5 y^{^{''}} + 8 y^{^{'}} + 14 y = 0

integral of (12x^3+6x^2)/(3x^4+2x^3-5)

\int \frac{12 x ^{3} + 6 x ^{2}}{3 x ^{4} + 2 x ^{3} - 5} d x

(\partial)/(\partial t)(1+t)

\frac{\partial}{\partial t} (1 + t)

integral of ((-5x^4-4\sqrt[3]{x})/(4x))

\int (\frac{- 5 x ^{4} - 4 3 x}{4 x}) d x