Y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
W = 0
Twelve times one is 12 so 12+w has to equal 12
The slope of the line is given by the derivative
m = dy/dx = 4x^3 + 2e^x
using the point slope form of a straight line
y - y1 = m(x - x1) where m is the above and (x1,y1) is the point of contact of the tangent we have
y - y1 = (4x^3 + 2e^x)(x - x1) which is equation of the tangent
