derivative of 6x^4-7x^3+2x+sqrt(2)

Lösung

\frac{d}{d x} (6 x^{4} - 7 x^{3} + 2 x + 2)

24 x^{3} - 21 x^{2} + 2

Schritte zur Lösung

\frac{d}{d x} (6 x^{4} - 7 x^{3} + 2 x + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x^{4}) - \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (2)

\frac{d}{d x} (6 x^{4}) = 24 x^{3}

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

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

\frac{d}{d x} (2) = 0

= 24 x^{3} - 21 x^{2} + 2 + 0

Vereinfache

= 24 x^{3} - 21 x^{2} + 2

\frac{d}{d x} (6 x^{\frac{7}{2}} + 4 x^{\frac{5}{2}} + 2 x)

d er i v a t i v e f (x) = x + 5 x

in v erse l a pl a ce \frac{e ^{- π s}}{s - 1}

\frac{d}{d x} (2 x^{6})

d er i v a t i v e - 2 t (6 t^{6} - 1)^{6}