Question

Find tangent line to f(x) = x + 2 sin x at x = 
6 and x = 
3 .

Answer 1

its suppose to be pi/6 and pi/3

Answer 2

slope = f'(x)=1+2cosx=1+2cos(pi/6)=1+sqrt(3)
at x=pi/6
f(x)=1+2sinpi/6=1+1=2
eq is
y-2=(1+sqrt3)(x-pi/6)

Answer 3

for x=pi/3, similar method
find slope of the line and use slope point form of the line

Answer 4

thank you