Question

The linearization at a=0 to sqrt(6+6x) is A+Bx where A is:_____ and where B is:_____

Answer 1

y = √(6+6x)
y(0) = √6

y' = 1/2 * 1/√(6+6x) * 6 = 3/√(6+6x)
y'(0) = 3/√6 = √6/2

so, y = √6/2 x + √6

A = √6
B = √6/2