derivative of 10500x+1/5 x^5+1900

Lösung

\frac{d}{d x} (10500 x + \frac{1}{5} x^{5} + 1900)

x^{4} + 10500

Schritte zur Lösung

\frac{d}{d x} (10500 x + \frac{1}{5} x^{5} + 1900)

Vereinfache

10500 x + \frac{1}{5} x^{5} + 1900 : 10500 x + \frac{x ^{5}}{5} + 1900

= \frac{d}{d x} (10500 x + \frac{x ^{5}}{5} + 1900)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (10500 x) + \frac{d}{d x} (\frac{x ^{5}}{5}) + \frac{d}{d x} (1900)

\frac{d}{d x} (10500 x) = 10500

\frac{d}{d x} (\frac{x ^{5}}{5}) = x^{4}

\frac{d}{d x} (1900) = 0

= 10500 + x^{4} + 0

Vereinfache

= x^{4} + 10500

\frac{\partial}{\partial x} (\frac{2}{x})

l a pl a ce t r an s f or m t e^{2 t}

d er i v a t i v e sin^{2} (p i x)

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