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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

sin (2 x) + 3 tan^{2} (x) sec^{2} (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

d/(dt)((500)/((t+2))-(1000)/(((t+2)^2)))

\frac{d}{d t} \frac{500}{( t + 2 )} - \frac{1000}{( ( t + 2 ) ^{2} )}

derivative (x^2)/((e^x-1)^2)

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

derivative x^3+4x^2+3

d er i v a t i v e x^{3} + 4 x^{2} + 3

derivative y=(x^3-x)/(x+1)

d er i v a t i v e y = \frac{x ^{3} - x}{x + 1}

derivative 5cos^2(3x)

d er i v a t i v e 5 cos^{2} (3 x)