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Beliebt Rechnen >

derivative y=x^2-5x-3

Lösung

ableitung von

y = x^{2} - 5 x - 3

Lösung

2 x - 5

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 5 x - 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (5 x) - \frac{d}{d x} (3)

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

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (3) = 0

= 2 x - 5 - 0

Vereinfache

= 2 x - 5

Graph

Beliebte Beispiele

derivative of (tan^2(x)/2)

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

derivative of e^{3x+3}

\frac{d}{d x} (e^{3 x + 3})

integral of 1/(2x^2-5x+7)

\int \frac{1}{2 x ^{2} - 5 x + 7} d x

limit as x approaches 0 of ((343+x)^{1/3}-7)/x

x \to 0 lim (\frac{( 343 + x ) ^{\frac{1}{3}} - 7}{x})

laplacetransform 1+sin(pi*t)

l a pl a ce t r an s f or m 1 + sin (π \cdot t)