Find an equation of the tangent line to the graph of y =sin^2x at the point where x = pi/3
Favorites|Homepage
Subscriptions | sitemap
HOME > > Find an equation of the tangent line to the graph of y =sin^2x at the point where x = pi/3

Find an equation of the tangent line to the graph of y =sin^2x at the point where x = pi/3

[From: ] [author: ] [Date: 13-07-20] [Hit: ]
......
i understand the derivative is 2sinxcosx but after that i m stuffed please help

-
dy/dx = 2sin(x)·cos(x)
slope at (π/3, 3/4) = 2sin(π/3)cos(π/3) = 2((√3)/2)(1/2) = (√3)/2

Equation of line of slope (√3)/2 that passes through (π/3, 3/4):
y - 3/4 = ((√3)/2)(x - π/3)

-
dy/dx = 2sin(x)cos(x) = sin(2x)

Slope of tangent line at x = π/3 => sin(2π/3) = √3/2

Eqn of tangent line:

y - 3/4 = √3/2 * (x - π/3)

-
y = sin^2 x

dy/dx = 2 sin x cos x = sin 2x

At x = π/3, dy/dx = sin (2π/3) = √3/2

(π/3, 3/4)

y - 3/4 = (√3/2) (x - π/3)
1
keywords: an,of,line,where,at,graph,point,tangent,sin,Find,pi,to,equation,the,Find an equation of the tangent line to the graph of y =sin^2x at the point where x = pi/3
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .