What are the points of inflection, if any, of #f(x)=14x^3+32x^2-15x+4 #?
1 Answer
Dec 4, 2017
Points of inflection involve the second derivative. This can be obtained by applying the power rule twice.
#f'(x) = 42x^2 + 64x - 15#
#f''(x) = 84x + 64#
When
#0 = 84x + 64#
#x = -16/21#
Hence, there will be a point of inflection when
Hopefully this helps!