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

Lösung

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

3 (x^{4} - 3 x^{2} + 5)^{2} (4 x^{3} - 6 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x^{4} - 3 x^{2} + 5) = 4 x^{3} - 6 x

= 3 (x^{4} - 3 x^{2} + 5)^{2} (4 x^{3} - 6 x)

n = 1 \sum \infty \frac{n}{( 2 n ) !}

d er i v a t i v e f (x) = x^{2} - 8 x - 8

\frac{\partial}{\partial x} (x^{6} y^{8} - x^{5} y^{7})

x \to 0 + lim (tan ((3 x)^{x}))

d er i v a t i v e 8 π r^{2}