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Beliebt Rechnen >

d/(dy)(x^2+y^2)

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d y} (y^{2}) = 2 y

= 0 + 2 y

Vereinfache

= 2 y

Graph

Beliebte Beispiele

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

n = 1 \sum \infty n^{2} (- 1)^{n}

tangent f(x)=x^2+x,(-3,1)

t an g e n t f (x) = x^{2} + x, (- 3, 1)

derivative f(x)=(e^x)/(4x^2+1)

d er i v a t i v e f (x) = \frac{e ^{x}}{4 x ^{2} + 1}

integral of 1/(x(a^2-x^2))

\int \frac{1}{x ( a ^{2} - x ^{2} )} d x

integral of 1/(4+9x^2)

\int \frac{1}{4 + 9 x ^{2}} d x