en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

taylor cos(x),-pi/2

Solution

taylor

cos (x), - \frac{π}{2}

Solution

(x + \frac{π}{2}) - \frac{1}{6} (x + \frac{π}{2})^{3} + \frac{1}{120} (x + \frac{π}{2})^{5} - \frac{1}{5040} (x + \frac{π}{2})^{7} + \frac{1}{362880} (x + \frac{π}{2})^{9} + \dots

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

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

Refine

= (x + \frac{π}{2}) - \frac{1}{6} (x + \frac{π}{2})^{3} + \frac{1}{120} (x + \frac{π}{2})^{5} - \frac{1}{5040} (x + \frac{π}{2})^{7} + \frac{1}{362880} (x + \frac{π}{2})^{9} + \dots

Popular Examples

area 5/x ,y=3x,y= 1/3 x area

\frac{5}{x}, y = 3 x, y = \frac{1}{3} x

integral from a to b of 1/(x^2)

\int_{a}^{b} \frac{1}{x ^{2}} d x

integral from 0 to 2 of x^2(2-x)^2

\int_{0}^{2} x^{2} (2 - x)^{2} d x

integral of (e^{x/2})/(e^x)

\int \frac{e ^{\frac{x}{2}}}{e ^{x}} d x

slope of (-1,2),(1,-4)slope

(- 1, 2), (1, - 4)

Frequently Asked Questions (FAQ)

What is taylor cos(x),-pi/2 ?
The answer to taylor cos(x),-pi/2 is