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Beliebt Rechnen >

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

Lösung

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

Lösung

8 x + 5 y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

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

= 8 x + 5 y^{2}

Beliebte Beispiele

fläche f(x)=2x-8,[7,10]

a re a f (x) = 2 x - 8, [7, 10]

sum from n=0 to infinity of 3n

n = 0 \sum \infty 3 n

taylor x-1-0.5sin(x)

t a y l or x - 1 - 0.5 sin (x)

integral from sqrt(8) to-1 of x^2-8

\int_{8}^{- 1} x^{2} - 8 d x

y^'-(6y)/x =(y^4)/(x^{12)}

y^{^{'}} - \frac{6 y}{x} = \frac{y ^{4}}{x ^{12}}