derivative 3t^7+4t^5-sqrt(t)

Lösung

ableitung von

3 t^{7} + 4 t^{5} - t

21 t^{6} + 20 t^{4} - \frac{1}{2 t}

Schritte zur Lösung

\frac{d}{d t} (3 t^{7} + 4 t^{5} - t)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (3 t^{7}) + \frac{d}{d t} (4 t^{5}) - \frac{d}{d t} (t)

\frac{d}{d t} (3 t^{7}) = 21 t^{6}

\frac{d}{d t} (4 t^{5}) = 20 t^{4}

\frac{d}{d t} (t) = \frac{1}{2 t}

= 21 t^{6} + 20 t^{4} - \frac{1}{2 t}

\frac{d}{d x} (ln (\frac{4 x ^{2} - 9}{2 x - 3}))

x \to 1 + lim (x^{2} - x)

\frac{\partial}{\partial y} (x^{3} - 3 x y + y^{3})

d er i v a t i v e x^{2} sin^{3} (x) + x cos^{- 3} (x)

x \to \infty lim (x^{2} + 6)