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Beliebt Rechnen >

derivative f(x)=10x^2+10x+8+ln(x)

Lösung

ableitung von

f (x) = 10 x^{2} + 10 x + 8 + ln (x)

Lösung

20 x + \frac{1}{x} + 10

Schritte zur Lösung

\frac{d}{d x} (10 x^{2} + 10 x + 8 + ln (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (10 x^{2}) + \frac{d}{d x} (10 x) + \frac{d}{d x} (8) + \frac{d}{d x} (ln (x))

\frac{d}{d x} (10 x^{2}) = 20 x

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (8) = 0

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 20 x + 10 + 0 + \frac{1}{x}

Vereinfache

= 20 x + \frac{1}{x} + 10

Graph

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