derivative of x^3-3x+5

Lösung

\frac{d}{d x} (x^{3} - 3 x + 5)

3 x^{2} - 3

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 3 x + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (3 x) + \frac{d}{d x} (5)

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

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

\frac{d}{d x} (5) = 0

= 3 x^{2} - 3 + 0

Vereinfache

= 3 x^{2} - 3

n = 1 \sum \infty e^{- \frac{3}{n ^{2}}}

\int_{1}^{\infty} \frac{3}{x ^{2} + 1} d x

\int \frac{( 2 x + 1 )}{x} d x

n = 8 \sum \infty (\frac{7}{8})^{- n}

\frac{\partial}{\partial z} (x^{3} + y z^{2})