derivative of cos(x+x^2sin(x))

Lösung

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

- sin (x) + 2 x sin (x) + cos (x) x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - sin (x) + 2 x sin (x) + cos (x) x^{2}

\frac{\partial}{\partial y} (x e^{5 y})

\frac{d}{d x} ((cos (x) + 2)^{3} (2 x)^{- 3 x})

n = 1 \sum \infty \frac{( - 1 ) ^{n} x ^{n}}{3 n}

d er i v a t i v e f (x) = \frac{9}{x ^{3}}

\frac{d}{d x} (ln (x) - 2 x)