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Beliebt Rechnen >

derivative of x^2sin^8(x+xcos^{-5}(x))

Lösung

\frac{d}{d x} (x^{2} sin^{8} (x) + x cos^{- 5} (x))

Lösung

2 x sin^{8} (x) + 8 sin^{7} (x) cos (x) x^{2} + sec^{5} (x) + \frac{5 x sin ( x )}{cos ^{6} ( x )}

Schritte zur Lösung

\frac{d}{d x} (x^{2} sin^{8} (x) + x cos^{- 5} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2} sin^{8} (x)) + \frac{d}{d x} (x cos^{- 5} (x))

\frac{d}{d x} (x^{2} sin^{8} (x)) = 2 x sin^{8} (x) + 8 sin^{7} (x) cos (x) x^{2}

\frac{d}{d x} (x cos^{- 5} (x)) = sec^{5} (x) + \frac{5 x sin ( x )}{cos ^{6} ( x )}

= 2 x sin^{8} (x) + 8 sin^{7} (x) cos (x) x^{2} + sec^{5} (x) + \frac{5 x sin ( x )}{cos ^{6} ( x )}

Graph

Beliebte Beispiele

tangent-3(x)^5+9(x)^3,\at x=-1

t an g e n t - 3 (x)^{5} + 9 (x)^{3}, at x = - 1

fläche 4x^2,16x

a re a 4 x^{2}, 16 x

y^'(x-1)+y(x-2)=0

y^{^{'}} (x - 1) + y (x - 2) = 0

derivative of x^{0.5}*y^{0.5}

\frac{d}{d x} (x^{0.5} \cdot y^{0.5})

f (x) = e^{9 x}