What is maclaurin xsin(x) ?

The answer to maclaurin xsin(x) is x^2-1/6 x^4+1/120 x^6-1/5040 x^8+1/362880 x^{10}+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

maclaurin xsin(x)

maclaurin

x sin (x)

x^{2} - \frac{1}{6} x^{4} + \frac{1}{120} x^{6} - \frac{1}{5040} x^{8} + \frac{1}{362880} x^{10} + \dots

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

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

Refine

= x^{2} - \frac{1}{6} x^{4} + \frac{1}{120} x^{6} - \frac{1}{5040} x^{8} + \frac{1}{362880} x^{10} + \dots

\frac{\partial}{\partial x} (x + x^{2} + y^{2})

\frac{d}{d x} (4 x - 2)

\int \frac{x ^{3} + 4 x + 3}{x ^{4} + 5 x ^{2} + 4} d x

x y \frac{d y}{d x} = x^{2} + 8 y^{2}

\int (3 sec^{2} (x)) d x

What is maclaurin xsin(x) ?
The answer to maclaurin xsin(x) is x^2-1/6 x^4+1/120 x^6-1/5040 x^8+1/362880 x^{10}+\ldots