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Beliebt Rechnen >

derivative y=sqrt(3x)+3sqrt(x)

Lösung

ableitung von

y = 3 x + 3 x

Lösung

\frac{3 + 3}{2 x}

Schritte zur Lösung

\frac{d}{d x} (3 x + 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = \frac{3}{2 x}

\frac{d}{d x} (3 x) = \frac{3}{2 x}

= \frac{3}{2 x} + \frac{3}{2 x}

Wende Regel an

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 + 3}{2 x}

Graph

Beliebte Beispiele

(dy)/(dx)+y=e^xy^{-2}

\frac{d y}{d x} + y = e^{x} y^{- 2}

tangent y=x^3,\at x=-4

t an g e n t y = x^{3}, at x = - 4

integral from-4 to 0 of (4+sqrt(16-x^2))

\int_{- 4}^{0} (4 + 16 - x^{2}) d x

integral of-5e^{6x}

\int - 5 e^{6 x} d x

integral of 1/(x^2sqrt(100-x^2))

\int \frac{1}{x ^{2} 100 - x ^{2}} d x