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Beliebt Rechnen >

(\partial)/(\partial y)(x^5+x^2y+x+2)

Lösung

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

Lösung

x^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{5}) + \frac{\partial}{\partial y} (x^{2} y) + \frac{\partial}{\partial y} (x) + \frac{\partial}{\partial y} (2)

\frac{\partial}{\partial y} (x^{5}) = 0

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

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

\frac{\partial}{\partial y} (2) = 0

= 0 + x^{2} + 0 + 0

Vereinfache

= x^{2}

Beliebte Beispiele

integral of 1/x-e^{-x}

\int \frac{1}{x} - e^{- x} d x

integral of 1/(4x+6sqrt(x))

\int \frac{1}{4 x + 6 x} d x

sum from n=1 to infinity of 1/(2n-1)

n = 1 \sum \infty \frac{1}{2 n - 1}

x(dy}{dx}=\frac{x^3)/y-(5x^5)/y-1/(xy)

x \frac{d y}{d x} = \frac{x ^{3}}{y} - \frac{5 x ^{5}}{y} - \frac{1}{x y}

tangent f(x)= 1/x ,\at x=3

t an g e n t f (x) = \frac{1}{x}, at x = 3