If the graph of y=ax^3 +4x^2+cx+d has a point of inflection at (2,0), then what is the value of a?
1 Answer
Jan 9, 2018
Explanation:
We have:
# y = ax^3 +4x^2+cx+d #
Differentiating we find the first and second derivatives:
# y' \ \ = 3ax^2 +8x+c #
# y'' = 6ax +8 #
For a point of inflection at
# :. 6x(2) + 8 = 0 => a=-2/3#