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Beliebt Rechnen >

derivative (2x+1)^3+2/((2x+1)^3)

Lösung

ableitung von

(2 x + 1)^{3} + \frac{2}{( 2 x + 1 ) ^{3}}

Lösung

6 (2 x + 1)^{2} - \frac{12}{( 2 x + 1 ) ^{4}}

Schritte zur Lösung

\frac{d}{d x} ((2 x + 1)^{3} + \frac{2}{( 2 x + 1 ) ^{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} ((2 x + 1)^{3}) + \frac{d}{d x} (\frac{2}{( 2 x + 1 ) ^{3}})

\frac{d}{d x} ((2 x + 1)^{3}) = 6 (2 x + 1)^{2}

\frac{d}{d x} (\frac{2}{( 2 x + 1 ) ^{3}}) = - \frac{12}{( 2 x + 1 ) ^{4}}

= 6 (2 x + 1)^{2} - \frac{12}{( 2 x + 1 ) ^{4}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(4+x+x^2Y(x))

\frac{\partial}{\partial x} (4 + x + x^{2} Y (x))

\frac{d y}{d x} = x + 2

integral of 2x+9x^{-2}

\int 2 x + 9 x^{- 2} d x

y^'-1/x y=x^2y^4

y^{^{'}} - \frac{1}{x} y = x^{2} y^{4}

tangent f(x)=3x^2-3x-5

t an g e n t f (x) = 3 x^{2} - 3 x - 5