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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(25+x^2))

Lösung

\frac{\partial}{\partial x} (25 + x^{2})

Lösung

\frac{x}{25 + x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (25 + x^{2})

Wende die Kettenregel an:

\frac{1}{2 25 + x ^{2}} \frac{\partial}{\partial x} (25 + x^{2})

= \frac{1}{2 25 + x ^{2}} \frac{\partial}{\partial x} (25 + x^{2})

\frac{\partial}{\partial x} (25 + x^{2}) = 2 x

= \frac{1}{2 25 + x ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2 25 + x ^{2}} \cdot 2 x : \frac{x}{25 + x ^{2}}

= \frac{x}{25 + x ^{2}}

Beliebte Beispiele

2y(dy)/(dx)= x/(sqrt(x^2-16))

2 y \frac{d y}{d x} = \frac{x}{x ^{2} - 16}

integral of 1/(1-y)

\int \frac{1}{1 - y} d y

integral of (2(x+1))/x

\int \frac{2 ( x + 1 )}{x} d x

integral of 1/(x^3+8)

\int \frac{1}{x ^{3} + 8} d x

limit as x approaches 1 of sqrt(x-1)

x \to 1 lim (x - 1)