derivative of cos(x+x^5)

Lösung

\frac{d}{d x} (cos (x) + x^{5})

- sin (x) + 5 x^{4}

Schritte zur Lösung

\frac{d}{d x} (cos (x) + x^{5})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (x^{5})

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

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

= - sin (x) + 5 x^{4}

\frac{d y}{d x} + 5 x y = 4 x

\int \frac{w}{1 - w} d w

x \to 1 lim (\frac{2}{( x - 1 ) ^{4}})

\int u^{- 1} d u

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{7} + 9 x y)