derivative cos(x^2+5)-x^3

Lösung

ableitung von

cos (x^{2} + 5) - x^{3}

- sin (x^{2} + 5) \cdot 2 x - 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (cos (x^{2} + 5) - x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x^{2} + 5)) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (cos (x^{2} + 5)) = - sin (x^{2} + 5) \cdot 2 x

\frac{d}{d x} (x^{3}) = 3 x^{2}

= - sin (x^{2} + 5) \cdot 2 x - 3 x^{2}

\frac{d}{d x} (ln (\frac{5 + e ^{x}}{5 - e ^{x}}))

x \to \infty lim (\frac{arctan ( x )}{\frac{1}{x} - 4})

\frac{d}{d x} (- \frac{x ^{7}}{7} + \frac{x ^{5}}{5})

d er i v a t i v e y = \frac{3 x - 2}{2 x + 1}

\frac{\partial}{\partial x} (\frac{2 y}{( x + y ) ^{2}})