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Beliebt Rechnen >

derivative of y-1/((x+3))

Lösung

\frac{d}{d x} (y - \frac{1}{( x + 3 )})

Lösung

\frac{d y}{d x} + \frac{1}{( x + 3 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (y - \frac{1}{( x + 3 )})

Wende die Summen-/Differenzregel an:

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

= \frac{d y}{d x} - \frac{d}{d x} (\frac{1}{x + 3})

\frac{d}{d x} (\frac{1}{x + 3}) = - \frac{1}{( x + 3 ) ^{2}}

= \frac{d y}{d x} - (- \frac{1}{( x + 3 ) ^{2}})

Vereinfache

= \frac{d y}{d x} + \frac{1}{( x + 3 ) ^{2}}

Beliebte Beispiele

(dy)/(dx)-7y=e^x

\frac{d y}{d x} - 7 y = e^{x}

(\partial)/(\partial x)(((u-v))/(u+v))

\frac{\partial}{\partial x} (\frac{( u - v )}{u + v})

integral of sqrt(1+(x)^2)

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

integral of (x+2)(x-6)

\int (x + 2) (x - 6) d x

9y^{''}-6y^'+15y=0

9 y^{^{''}} - 6 y^{^{'}} + 15 y = 0