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Beliebt Rechnen >

(\partial)/(\partial x)(1+ln(x))

Lösung

\frac{\partial}{\partial x} (1 + ln (x))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (1 + ln (x))

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (ln (x))

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

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

= 0 + \frac{1}{x}

Vereinfache

= \frac{1}{x}

Beliebte Beispiele

s(t)=(t^2+40t)/5

s (t) = \frac{t ^{2} + 40 t}{5}

(\partial)/(\partial x)(e^{(x^2-y^2)})

\frac{\partial}{\partial x} (e^{(x^{2} - y^{2})})

(36-x^2)(dy)/(dx)=1

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

integral of 9ln(x^2-1)

\int 9 ln (x^{2} - 1) d x

y^'+y/x =(y^2)/x

y^{^{'}} + \frac{y}{x} = \frac{y ^{2}}{x}