derivative of (x^2+a^2^5)

Lösung

\frac{d}{d x} ((x^{2} + a^{2})^{5})

10 x (x^{2} + a^{2})^{4}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + a^{2})^{5})

Wende die Kettenregel an:

5 (x^{2} + a^{2})^{4} \frac{d}{d x} (x^{2} + a^{2})

= 5 (x^{2} + a^{2})^{4} \frac{d}{d x} (x^{2} + a^{2})

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

= 5 (x^{2} + a^{2})^{4} \cdot 2 x

Vereinfache

= 10 x (x^{2} + a^{2})^{4}

\frac{\partial}{\partial x} (2 x - 5 y + 3)

s l o p e (4, - 1), (- 9, - 10)

d er i v a t i v e sin^{3} (x^{2})

\frac{d}{d x} (\frac{1}{2 ( x + 1 ) ^{\frac{1}{2}}})

x \to 49 lim (x^{\frac{3}{2}})