derivative of 7sin(x-7xcos(x))

Lösung

\frac{d}{d x} (7 sin (x) - 7 x cos (x))

7 x sin (x)

Schritte zur Lösung

\frac{d}{d x} (7 sin (x) - 7 x cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 sin (x)) - \frac{d}{d x} (7 x cos (x))

\frac{d}{d x} (7 sin (x)) = 7 cos (x)

\frac{d}{d x} (7 x cos (x)) = 7 (cos (x) - x sin (x))

= 7 cos (x) - 7 (cos (x) - x sin (x))

Vereinfache

7 cos (x) - 7 (cos (x) - x sin (x)) : 7 x sin (x)

= 7 x sin (x)

\int_{0}^{π} 2 sin (x) d x

\frac{d}{d θ} (- 8 sin (θ))

in v erse l a pl a ce \frac{2}{s + 10.04}

x \to - \infty lim (3 - 4 x^{2})

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