Derivatives - Properties and Formulas

Question

Find the equation of the tangent line to the curve y = 2sin x at the point (pi/6,1).

The equation of this tangent line can be written in the form y = mx + b where,

m =

b =

Answer 1

y' = 2cosx

Slope = 2cos(π/6) = 2(√3/2) = √3

Equation of tangent line: y - 1 = √3 (x - π/6)

y = (√3)x + (1 - √3(π/6))