derivative of (x^4/3-7x)

Lösung

\frac{d}{d x} (\frac{x ^{4}}{3} - 7 x)

\frac{4 x ^{3}}{3} - 7

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{4}}{3} - 7 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{4}}{3}) - \frac{d}{d x} (7 x)

\frac{d}{d x} (\frac{x ^{4}}{3}) = \frac{4 x ^{3}}{3}

\frac{d}{d x} (7 x) = 7

= \frac{4 x ^{3}}{3} - 7

d er i v a t i v e e^{- 2 t}

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

n = 1 \sum \infty \frac{( - 1 )}{n}

in v erse l a pl a ce \frac{s}{( s ^{2} + 3 ^{2} ) ^{2}}

n = 2 \sum \infty \frac{1}{4 ^{n}}