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Beliebt Rechnen >

derivative of x^2-4xy+y^2=4

Lösung

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

Lösung

y = 2 x + 3 x^{2} + 4 x + c_{1}, y = 2 x - 3 x^{2} + 4 x + c_{1}

Schritte zur Lösung

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

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

x^{2} - 4 x y + y^{2} = \int 4 d x

\int 4 d x = 4 x + c_{1}

x^{2} - 4 x y + y^{2} = 4 x + c_{1}

Isoliere

y : y = 2 x + 3 x^{2} + 4 x + c_{1}, y = 2 x - 3 x^{2} + 4 x + c_{1}

y = 2 x + 3 x^{2} + 4 x + c_{1}, y = 2 x - 3 x^{2} + 4 x + c_{1}

Graph

Beliebte Beispiele

integral of (3+z)/(1-z^2)

\int \frac{3 + z}{1 - z ^{2}} d z

sum from n=0 to infinity of 1/(n^2)x^n

n = 0 \sum \infty \frac{1}{n ^{2}} x^{n}

fläche y= 2/3 x^{3/2}+3,[0,2]

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d er i v a t i v e y = x^{n}

6/(sqrt(y))dx=(e^{3x}+1)dy

\frac{6}{y} d x = (e^{3 x} + 1) d y