What is maclaurin 11cos(-x) ?

The answer to maclaurin 11cos(-x) is 11-11/2 x^2+11/24 x^4-11/720 x^6+11/40320 x^8+\ldots

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maclaurin 11cos(-x)

maclaurin

11 cos (- x)

11 - \frac{11}{2} x^{2} + \frac{11}{24} x^{4} - \frac{11}{720} x^{6} + \frac{11}{40320} x^{8} + \dots

Solution steps

Apply the Maclaurin Formula

= 11 + \frac{\frac{d}{d x} ( 11 cos ( - x ) ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 11 cos ( - x ) ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 11 cos ( - x ) ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 11 + \frac{0}{1 !} x + \frac{- 11}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{11}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{- 11}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{11}{8 !} x^{8} + \dots

Refine

= 11 - \frac{11}{2} x^{2} + \frac{11}{24} x^{4} - \frac{11}{720} x^{6} + \frac{11}{40320} x^{8} + \dots

\frac{d}{d x} (3 sin (x) - sin (3 x))

x \to + 0 lim (\frac{- 1}{5 x})

\frac{\partial}{\partial t} (\frac{x}{t} - 2 t)

\frac{d}{d x} ((sin (x))^{s i n (x)})

\frac{d}{d x} ((3 x^{2} + 6)^{3})

What is maclaurin 11cos(-x) ?
The answer to maclaurin 11cos(-x) is 11-11/2 x^2+11/24 x^4-11/720 x^6+11/40320 x^8+\ldots