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Beliebt Rechnen >

derivative of [x+(x+sin^2(x)^6]^3)

Lösung

\frac{d}{d x} ([x + (x + sin^{2} (x))^{6}]^{3})

Lösung

3 (x + (x + sin^{2} (x))^{6})^{2} (1 + 6 (x + sin^{2} (x))^{5} (1 + sin (2 x)))

Schritte zur Lösung

\frac{d}{d x} ((x + (x + sin^{2} (x))^{6})^{3})

Wende die Kettenregel an:

3 (x + (x + sin^{2} (x))^{6})^{2} \frac{d}{d x} (x + (x + sin^{2} (x))^{6})

= 3 (x + (x + sin^{2} (x))^{6})^{2} \frac{d}{d x} (x + (x + sin^{2} (x))^{6})

\frac{d}{d x} (x + (x + sin^{2} (x))^{6}) = 1 + 6 (x + sin^{2} (x))^{5} (1 + sin (2 x))

= 3 (x + (x + sin^{2} (x))^{6})^{2} (1 + 6 (x + sin^{2} (x))^{5} (1 + sin (2 x)))

Graph

Beliebte Beispiele

integral of (2x-1)^4

\int (2 x - 1)^{4} d x

(dy)/(dx)=(9x+4y)/(9x+4y+4)

\frac{d y}{d x} = \frac{9 x + 4 y}{9 x + 4 y + 4}

inverselaplace ((5/s-1))/((s+1)^2+9)

in v erse l a pl a ce \frac{( \frac{5}{s} - 1 )}{( s + 1 ) ^{2} + 9}

integral of 1/(sqrt(1+6x-3x^2))

\int \frac{1}{1 + 6 x - 3 x ^{2}} d x

y^'-2y=3e^{-2t}

y^{^{'}} - 2 y = 3 e^{- 2 t}