derivative 2+5tan^{-1}(x/2)

Lösung

ableitung von

2 + 5 arctan (\frac{x}{2})

\frac{10}{x ^{2} + 4}

Schritte zur Lösung

\frac{d}{d x} (2 + 5 arctan (\frac{x}{2}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (5 arctan (\frac{x}{2}))

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

\frac{d}{d x} (5 arctan (\frac{x}{2})) = \frac{10}{x ^{2} + 4}

= 0 + \frac{10}{x ^{2} + 4}

Vereinfache

= \frac{10}{x ^{2} + 4}

\int (9 e^{x} - 9 x) d x

d er i v a t i v e x^{3} e^{6 x^{3} + 8 x^{2} - 7}

d er i v a t i v e f (x) = \frac{f ( x )}{x ^{2} + 2}

\int_{1}^{16} \frac{4}{x} d x

x \to 0 lim (\frac{2 x}{x ^{2} - 5 x})