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)
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)
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)
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)