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Beliebt Rechnen >

derivative f(x)= 1/(x-4)

Lösung

ableitung von

f (x) = \frac{1}{x - 4}

Lösung

- \frac{1}{( x - 4 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x - 4})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((x - 4)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( x - 4 ) ^{2}} \frac{d}{d x} (x - 4)

= - \frac{1}{( x - 4 ) ^{2}} \frac{d}{d x} (x - 4)

\frac{d}{d x} (x - 4) = 1

= - \frac{1}{( x - 4 ) ^{2}} \cdot 1

Vereinfache

= - \frac{1}{( x - 4 ) ^{2}}

Graph

Beliebte Beispiele

(d^3)/(dx^3)(2/(x^2))

\frac{d ^{3}}{d x ^{3}} (\frac{2}{x ^{2}})

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

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

y^'+6y=60,y(1)=60

y^{^{'}} + 6 y = 60, y (1) = 60

integral of 1/(1-tan^2(x))

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

(dy)/(dx)=(x+y+2)/(x+y-4)

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