derivative of (5x+3^4)

Lösung

\frac{d}{d x} ((5 x + 3)^{4})

20 (5 x + 3)^{3}

Schritte zur Lösung

\frac{d}{d x} ((5 x + 3)^{4})

Wende die Kettenregel an:

4 (5 x + 3)^{3} \frac{d}{d x} (5 x + 3)

= 4 (5 x + 3)^{3} \frac{d}{d x} (5 x + 3)

\frac{d}{d x} (5 x + 3) = 5

= 4 (5 x + 3)^{3} \cdot 5

Vereinfache

= 20 (5 x + 3)^{3}

\frac{d}{d x} ((arctan (7 x))^{2})

x \to a lim (\frac{3 x - 3 a}{x ^{2} - a ^{2}})

y = 0 \sum \infty 2^{- 2 - y + x}

\frac{\partial}{\partial y} (x 1 + y^{5})

\int t e^{- a t} d t