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

Lösung

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

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

Schritte zur Lösung

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

Behandle

d

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

n = 1 \sum \infty \frac{3}{n ^{\frac{5}{3}}}

s l o p e ∣ x ∣ + 3

\frac{\partial}{\partial y} (sinh (2 x + 3 y))

d er i v a t i v e \frac{55.9}{t ^{2} - 0.31 t + 11.2}

\frac{d P}{d t} = P (5 - P) - 4