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Beliebt Rechnen >

derivative (x^2-36)/(x-6)

Lösung

ableitung von

\frac{x ^{2} - 36}{x - 6}

Lösung

1

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} - 36}{x - 6})

Vereinfache

\frac{x ^{2} - 36}{x - 6} : x + 6

= \frac{d}{d x} (x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (6)

\frac{d x}{d x} = 1

\frac{d}{d x} (6) = 0

= 1 + 0

Vereinfache

= 1

Graph

Beliebte Beispiele

y^{''}+y=sin(2x)

y^{^{''}} + y = sin (2 x)

derivative of (2x^2-1+(5x-6))

\frac{d}{d x} ((2 x^{2} - 1) + (5 x - 6))

f (x) = 12 x^{2}

(\partial)/(\partial x)(10x^{1/4}*2y^{3/4})

\frac{\partial}{\partial x} (10 x^{\frac{1}{4}} \cdot 2 y^{\frac{3}{4}})

limit as x approaches 1 of 4x^2-2x-6

x \to 1 lim (4 x^{2} - 2 x - 6)