derivative y= x/3+(3x^2)/2

Lösung

ableitung von

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

\frac{1}{3} + 3 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{x}{3}) = \frac{1}{3}

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

= \frac{1}{3} + 3 x

\int_{1}^{32} \frac{sin ( 5 x )}{5 x ^{4}} d x

x \to 0 lim (\frac{( 1 )}{x ^{2}})

\int \frac{( x ^{2} - x + 12 )}{x ^{3} + 6 x} d x

y^{^{'}} + 2 x y = e^{x}

x \to - 6 lim (x + 1)