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Beliebt Rechnen >

derivative tan^2(x)-sin^3(x)

Lösung

ableitung von

tan^{2} (x) - sin^{3} (x)

Lösung

2 tan (x) sec^{2} (x) - 3 sin^{2} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} (tan^{2} (x) - sin^{3} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (tan^{2} (x)) - \frac{d}{d x} (sin^{3} (x))

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

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

= 2 tan (x) sec^{2} (x) - 3 sin^{2} (x) cos (x)

Graph

Beliebte Beispiele

derivative e^x+3x^2

d er i v a t i v e e^{x} + 3 x^{2}

(e^{- 3} t)^{^{'}}

derivative (3x)^{1/2}

d er i v a t i v e (3 x)^{\frac{1}{2}}

derivative y=ln(x)sec^3(x)

d er i v a t i v e y = ln (x) sec^{3} (x)

d/(dt)(15+300t)

\frac{d}{d t} (15 + 300 t)