derivative of 5x^2+4sin(x)

Lösung

\frac{d}{d x} (5 x^{2} + 4 sin (x))

10 x + 4 cos (x)

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} + 4 sin (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (4 sin (x))

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

= 10 x + 4 cos (x)

n = 0 \sum \infty (\frac{n}{n + 2})^{n}

11 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 8

x \to 2 lim (\frac{5}{x})

\int_{0}^{\infty} 4 e^{- x} d x

\int (\frac{x}{2 x + 1}) d x