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Beliebt Rechnen >

(\partial)/(\partial x)(1+2xsqrt(y))

Lösung

\frac{\partial}{\partial x} (1 + 2 x y)

Lösung

2 y

Schritte zur Lösung

\frac{\partial}{\partial x} (1 + 2 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (2 x y)

\frac{\partial}{\partial x} (1) = 0

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

= 0 + 2 y

Vereinfache

= 2 y

Beliebte Beispiele

inverselaplace s/((s+2)^2+1)

in v erse l a pl a ce \frac{s}{( s + 2 ) ^{2} + 1}

y^{''}-y^'+6y=0

y^{^{''}} - y^{^{'}} + 6 y = 0

integral from 2 to infinity of 1/(v^2+5v-6)

\int_{2}^{\infty} \frac{1}{v ^{2} + 5 v - 6} d v

derivative of ln(7x^2+9y^2)

\frac{d}{d x} (ln (7 x^{2} + 9 y^{2}))

derivative f(x)=3x^2-24x+45

d er i v a t i v e f (x) = 3 x^{2} - 24 x + 45