y^{''}=36x^7+21x^5-3x+48x^{-5}

Lösung

y^{^{''}} = 36 x^{7} + 21 x^{5} - 3 x + 48 x^{- 5}

y = \frac{x ^{9}}{2} + \frac{x ^{7}}{2} - \frac{x ^{3}}{2} + \frac{4}{x ^{3}} + c_{1} x + c_{2}

Schritte zur Lösung

y^{''} (x) = 36 x^{7} + 21 x^{5} - 3 x + 48 x^{- 5}

Löse

y^{''} (x) = 36 x^{7} + 21 x^{5} - 3 x + 48 x^{- 5} : y^{'} (x) = \frac{9 x ^{8}}{2} + \frac{7 x ^{6}}{2} - \frac{3 x ^{2}}{2} - \frac{12}{x ^{4}} + c_{1}

Löse

y^{'} (x) = \frac{9 x ^{8}}{2} + \frac{7 x ^{6}}{2} - \frac{3 x ^{2}}{2} - \frac{12}{x ^{4}} + c_{1} : y = \frac{x ^{9}}{2} + \frac{x ^{7}}{2} - \frac{x ^{3}}{2} + \frac{4}{x ^{3}} + c_{1} x + c_{2}

y = \frac{x ^{9}}{2} + \frac{x ^{7}}{2} - \frac{x ^{3}}{2} + \frac{4}{x ^{3}} + c_{1} x + c_{2}

ma c l a u r in sin (x), 1

\frac{d}{d x} (3 sin (2 x) + cos (2 x))

t an g e n t f (x) = \frac{8}{x ^{2} + x + 2}, at x = 2

h \to + 0 lim (2 x + h)

d er i v a t i v e 500 x - 0.003 x^{2} + 1 0^{- 8} x^{3}