derivative of (4x^2-5^3)

Lösung

\frac{d}{d x} ((4 x^{2} - 5)^{3})

24 x (4 x^{2} - 5)^{2}

Schritte zur Lösung

\frac{d}{d x} ((4 x^{2} - 5)^{3})

Wende die Kettenregel an:

3 (4 x^{2} - 5)^{2} \frac{d}{d x} (4 x^{2} - 5)

= 3 (4 x^{2} - 5)^{2} \frac{d}{d x} (4 x^{2} - 5)

\frac{d}{d x} (4 x^{2} - 5) = 8 x

= 3 (4 x^{2} - 5)^{2} \cdot 8 x

Vereinfache

= 24 x (4 x^{2} - 5)^{2}

x y^{^{'}} - 2 y - 8 = 0

d er i v a t i v e f (x) = 3 x (18 x^{4} + \frac{13}{x + 1})

\frac{d}{d x} (\frac{6 x ^{2} + 6 x + 6}{x})

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

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