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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(4x+y))

Lösung

\frac{\partial}{\partial x} (4 x + y)

Lösung

\frac{2}{4 x + y}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x + y)

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 4 x + y} \frac{\partial}{\partial x} (4 x + y)

= \frac{1}{2 4 x + y} \frac{\partial}{\partial x} (4 x + y)

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

= \frac{1}{2 4 x + y} \cdot 4

Vereinfache

\frac{1}{2 4 x + y} \cdot 4 : \frac{2}{4 x + y}

= \frac{2}{4 x + y}

Beliebte Beispiele

derivative of (2/x-1/(x^2)^{1/2})

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

integral of 2tan^4(x)sec^6(x)

\int 2 tan^{4} (x) sec^{6} (x) d x

(dy)/(dx)=(1-y)y-6

\frac{d y}{d x} = (1 - y) y - 6

inverselaplace 1/2-1/2*(1/(s+1))

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

integral of e^{ln(2x)}

\int e^{l n (2 x)} d x