What is maclaurin 10x^2sin(8x) ?

The answer to maclaurin 10x^2sin(8x) is 80x^3-2560/3 x^5+8192/3 x^7-262144/63 x^9+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

maclaurin 10x^2sin(8x)

maclaurin

10 x^{2} sin (8 x)

80 x^{3} - \frac{2560}{3} x^{5} + \frac{8192}{3} x^{7} - \frac{262144}{63} x^{9} + \dots

Solution steps

Apply the Maclaurin Formula

= 0 + \frac{\frac{d}{d x} ( 10 x ^{2} sin ( 8 x ) ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 10 x ^{2} sin ( 8 x ) ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 10 x ^{2} sin ( 8 x ) ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 0 + \frac{0}{1 !} x + \frac{0}{2 !} x^{2} + \frac{480}{3 !} x^{3} + \frac{0}{4 !} x^{4} + \frac{- 102400}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{13762560}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{- 1509949440}{9 !} x^{9} + \frac{0}{10 !} x^{10} + \dots

Refine

= 80 x^{3} - \frac{2560}{3} x^{5} + \frac{8192}{3} x^{7} - \frac{262144}{63} x^{9} + \dots

\frac{d}{d x} (4 x + 10)

\int_{2}^{6} (\frac{x}{2} + 1) d x

\frac{d y}{d x} = 2 x y

y^{^{''}} + 6 y^{^{'}} + 90 y = 0

f (x) = 2 x^{2}, at x = - 3

What is maclaurin 10x^2sin(8x) ?
The answer to maclaurin 10x^2sin(8x) is 80x^3-2560/3 x^5+8192/3 x^7-262144/63 x^9+\ldots