Question

Find the value(s) of f(x) such as that the tangent line to the graph of: f(x)=(3x +6)^2 will be horizontal

A)x = -2
B)x = -2, 0
C)x = 0
DThe tangent line will never be horizontal

Answer 1

tangent will be 0 if derivative is 0.
derivate of f(x) is f'(x) which is 6(3x+6)
f'(x) is zero when x = -2

Answer 2

thank you