How do you find the inflection points of the graph of the function: #f(x)= (x^7/42) - (3x^6/10) + (6x^5/5) - (4x^4/3)#?
1 Answer
Oct 18, 2015
See the explanation.
Explanation:
For
# = x^2( x^3-9x^2+24x-16)#
Looking for rational zeros of the cubic, we note that
# = x^2(x-1) (x^2-8x+16)#
# = x^2(x-1) (x-4)^2)#
The zeros of
The only one at which
The only inflection point is
(I'll leave it to the student to find