derivative (8-x)/5+(sqrt(16+x^2))/3

Lösung

ableitung von

\frac{8 - x}{5} + \frac{16 + x ^{2}}{3}

- \frac{1}{5} + \frac{x}{3 16 + x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{8 - x}{5} + \frac{16 + x ^{2}}{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{8 - x}{5}) + \frac{d}{d x} (\frac{16 + x ^{2}}{3})

\frac{d}{d x} (\frac{8 - x}{5}) = - \frac{1}{5}

\frac{d}{d x} (\frac{16 + x ^{2}}{3}) = \frac{x}{3 16 + x ^{2}}

= - \frac{1}{5} + \frac{x}{3 16 + x ^{2}}

\frac{d}{d x} (\frac{x ^{2}}{2 ^{x} - 1})

\int \frac{1}{x 16 x ^{2} - 1} d x

d er i v a t i v e f (x) = \frac{t}{( t - 7 ) ^{2}}

\frac{d}{d x} (ln (e^{2 x} + 1))

x \to \infty lim ((1 + \frac{1}{x})^{x + 3})