derivative of 2x^3-15x^2-36x

Lösung

\frac{d}{d x} (2 x^{3} - 15 x^{2} - 36 x)

6 x^{2} - 30 x - 36

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} - 15 x^{2} - 36 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (15 x^{2}) - \frac{d}{d x} (36 x)

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (36 x) = 36

= 6 x^{2} - 30 x - 36

d er i v a t i v e - 4 e^{- 5 x^{2}}

x \to 0 lim (tan (6 x))

\frac{d y}{d x} = 2 sec^{2} (x)

n = 0 \sum \infty e^{- na}

\int_{0}^{\infty} t e^{- t} d t