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Beliebt Rechnen >

derivative 5x^3-6cos(x)

Lösung

ableitung von

5 x^{3} - 6 cos (x)

Lösung

15 x^{2} + 6 sin (x)

Schritte zur Lösung

\frac{d}{d x} (5 x^{3} - 6 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{3}) - \frac{d}{d x} (6 cos (x))

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

= 15 x^{2} - (- 6 sin (x))

Vereinfache

= 15 x^{2} + 6 sin (x)

Graph

Beliebte Beispiele

tangent f(x)= 2/(x-8),(10,1)

t an g e n t f (x) = \frac{2}{x - 8}, (10, 1)

integral of 8/(x^2)

\int \frac{8}{x ^{2}} d x

taylor e^{2x-3},1

t a y l or e^{2 x - 3}, 1

limit as x approaches 2 of 5x^3-6x-1

x \to 2 lim (5 x^{3} - 6 x - 1)

integral of (x^{-2/7})

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