derivative of 4sin(x-4xcos(x))

Lösung

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

4 x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 cos (x) - 4 (cos (x) - x sin (x))

Vereinfache

4 cos (x) - 4 (cos (x) - x sin (x)) : 4 x sin (x)

= 4 x sin (x)

n = 3 \sum \infty \frac{1}{n ^{2} + 3 n}

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

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

d er i v a t i v e f (x) = e^{x^{2} - 6}

x \to 0 lim (x \cdot (ln (x))^{2})