# 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!