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Beliebt Rechnen >

derivative f(x)=3(x)^3+cos(x)

Lösung

ableitung von

f (x) = 3 (x)^{3} + cos (x)

Lösung

9 x^{2} - sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{3}) + \frac{d}{d x} (cos (x))

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (cos (x)) = - sin (x)

= 9 x^{2} - sin (x)

Graph

Beliebte Beispiele

integral of sin^{2020}(x

\int sin^{2020} (d) x d x

integral of x\sqrt[3]{(x+3)^5}

\int x 3 (x + 3)^{5} d x

derivative of-sin(3x3)

\frac{d}{d x} (- sin (3 x) 3)

integral of (2x+1)^{-1}

\int (2 x + 1)^{- 1} d x

limit as x approaches+0 of (2sin(2x))/x

x \to + 0 lim (\frac{2 sin ( 2 x )}{x})