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Beliebt Rechnen >

derivative f(x)=x^2+3x-7

Lösung

ableitung von

f (x) = x^{2} + 3 x - 7

Lösung

2 x + 3

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 3 x - 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (7)

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

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

\frac{d}{d x} (7) = 0

= 2 x + 3 - 0

Vereinfache

= 2 x + 3

Graph

Beliebte Beispiele

(\partial)/(\partial s)(-3sqrt(s^2+t^2))

\frac{\partial}{\partial s} (- 3 s^{2} + t^{2})

y^{^{'}} = y + 3

integral of 1/(sqrt(x^2+6x))

\int \frac{1}{x ^{2} + 6 x} d x

derivative of e^{1x}

\frac{d}{d x} (e^{1 x})

derivative f(x)=sqrt(7)x-sqrt(2x)

d er i v a t i v e f (x) = 7 x - 2 x