taylor x^3 16/3

Lösung

taylor

x^{3} \frac{16}{3}

\frac{16}{3} x^{3}

Schritte zur Lösung

Apply the Taylor Formula

= 0 + \frac{\frac{d}{d x} ( x ^{3} \frac{16}{3} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( x ^{3} \frac{16}{3} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( x ^{3} \frac{16}{3} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 0 + \frac{0}{1 !} x + \frac{0}{2 !} x^{2} + \frac{32}{3 !} x^{3} + \frac{0}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{0}{9 !} x^{9} + \frac{0}{10 !} x^{10}

Fasse zusammen

= \frac{16}{3} x^{3}

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

l a pl a ce t r an s f or m 6

\frac{d y}{d x} = \frac{7 x + 4 y}{7 x + 4 y + 4}

x (x + 1) \frac{d y}{d x} + x y = 1

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