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Beliebt >

derivative f(x)=4x^3-14x^2+49x+6

Lösung

ableitung von

f (x) = 4 x^{3} - 14 x^{2} + 49 x + 6

Lösung

12 x^{2} - 28 x + 49

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 14 x^{2} + 49 x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (14 x^{2}) + \frac{d}{d x} (49 x) + \frac{d}{d x} (6)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (14 x^{2}) = 28 x

\frac{d}{d x} (49 x) = 49

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

= 12 x^{2} - 28 x + 49 + 0

Vereinfache

= 12 x^{2} - 28 x + 49

Graph

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\int 6 x ln (x + 1) d x

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\int \frac{144}{x ^{3} - 12 x ^{2}} d x

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f (x) = 5 cos (x), at x = \frac{π}{3}