derivative x^5+5^x

Lösung

ableitung von

x^{5} + 5^{x}

5 x^{4} + 5^{x} ln (5)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 5 x^{4} + 5^{x} ln (5)

\int_{0}^{1} sin (x) d x

x \to 0 lim (\frac{2 x ^{2}}{sin ^{2} ( 8 x )})

t an g e n t f (x) = x^{4} - 2 x^{3} - 5 x - 3, at x = 1

a re a \frac{1}{16 x ^{2}}, x, \frac{x}{10}

\int (3 x - 1) (x + 5) d x