(d^2)/(dx^2)((x^3+8x)^{12})

Lösung

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 8 x)^{12})

12 (11 (x^{3} + 8 x)^{10} (3 x^{2} + 8)^{2} + 6 x (x^{3} + 8 x)^{11})

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 8 x)^{12})

\frac{d}{d x} ((x^{3} + 8 x)^{12}) = 12 (x^{3} + 8 x)^{11} (3 x^{2} + 8)

= \frac{d}{d x} (12 (x^{3} + 8 x)^{11} (3 x^{2} + 8))

\frac{d}{d x} (12 (x^{3} + 8 x)^{11} (3 x^{2} + 8)) = 12 (11 (x^{3} + 8 x)^{10} (3 x^{2} + 8)^{2} + 6 x (x^{3} + 8 x)^{11})

= 12 (11 (x^{3} + 8 x)^{10} (3 x^{2} + 8)^{2} + 6 x (x^{3} + 8 x)^{11})

f (x) = - cos (5 x)

\int - \frac{x ^{2}}{x} d x

d er i v a t i v e \frac{1 - 5 x - x ^{2}}{x ^{2} - 3}

(e^{2 x} + 4) y^{^{'}} = y

\int (2 x + 1)^{5} d x