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Beliebt Rechnen >

derivative of ax^2+bx+c

Lösung

\frac{d}{d x} (a x^{2} + b x + c)

Lösung

2 a x + b

Schritte zur Lösung

\frac{d}{d x} (a x^{2} + b x + c)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a x^{2}) + \frac{d}{d x} (b x) + \frac{d c}{d x}

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

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

\frac{d c}{d x} = 0

= 2 a x + b + 0

Vereinfache

= 2 a x + b

Beliebte Beispiele

derivative of kx^4(x_{0}-x)

\frac{d}{d x} (k x^{4} (x_{0} - x))

9 y^{^{'}} + y = 5 t^{2}

sum from n=1 to infinity of (-3/5)^n

n = 1 \sum \infty (- \frac{3}{5})^{n}

(\frac{1}{cos ( x )})^{^{'}}

derivative of 2arcsin(x^4)

\frac{d}{d x} (2 arcsin (x^{4}))