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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(9+x^2))

Lösung

\frac{\partial}{\partial x} (9 + x^{2})

Lösung

\frac{x}{9 + x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (9 + x^{2})

Wende die Kettenregel an:

\frac{1}{2 9 + x ^{2}} \frac{\partial}{\partial x} (9 + x^{2})

= \frac{1}{2 9 + x ^{2}} \frac{\partial}{\partial x} (9 + x^{2})

\frac{\partial}{\partial x} (9 + x^{2}) = 2 x

= \frac{1}{2 9 + x ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2 9 + x ^{2}} \cdot 2 x : \frac{x}{9 + x ^{2}}

= \frac{x}{9 + x ^{2}}

Beliebte Beispiele

tangent f(x)=4x^2,\at x=10

t an g e n t f (x) = 4 x^{2}, at x = 10

derivative of 1500x+3000(2x+3^{-1}-1000)

\frac{d}{d x} (1500 x + 3000 (2 x + 3)^{- 1} - 1000)

integral of (x^8-5x)/(x^6)

\int \frac{x ^{8} - 5 x}{x ^{6}} d x

(dy)/(dt)+e^ty=20e^t

\frac{d y}{d t} + e^{t} y = 20 e^{t}

(\partial)/(\partial z)(3xz)

\frac{\partial}{\partial z} (3 x z)