maclaurin 9e^{-x}

Soluzione

maclaurin

9 e^{- x}

9 - 9 x + \frac{9}{2} x^{2} - \frac{3}{2} x^{3} + \frac{3}{8} x^{4} + \dots

Fasi della soluzione

Applica la Formula di Maclaurin

= 9 + \frac{\frac{d}{d x} ( 9 e ^{- x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 9 e ^{- x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 9 e ^{- x} ) ( 0 )}{3 !} x^{3} + \dots

Valuta derivate

= 9 + \frac{- 9}{1 !} x + \frac{9}{2 !} x^{2} + \frac{- 9}{3 !} x^{3} + \frac{9}{4 !} x^{4} + \dots

Affinare

= 9 - 9 x + \frac{9}{2} x^{2} - \frac{3}{2} x^{3} + \frac{3}{8} x^{4} + \dots

\int \frac{1}{( 16 - x ^{2} ) ^{\frac{3}{2}}} d x

d er i v a t i v e f (x) = 3 csc (4 x)

x y^{^{'}} + 4 y = 9 x^{5} + 2 x^{3}

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{3 t}

\int \frac{1}{5 + 2 t} d t