Question

Suppose that it is given to you that
f′(x)=(x+3)(8−x)(x−15)

The first inflection point (from the left) for f(x) occurs at x=
The second inflection point (from the left) for f(x) occurs at x=

Answer 1

inflection points occur where f"(x) = 0
f"(x) = -(3x^2-40x+51)
So, just find the roots of that to get the inflection points for f(x)

Answer 2

Suppose that f(x)=x^[1/3](x+3)^[2/3]

(A) Find all critical values of f. If there are no critical values, enter None . If there are more than one, enter them separated by commas.
Critical value(s) =
(B) Use interval notation to indicate where f(x) is increasing.
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(D) Find the x-coordinates of all local maxima and minima of f
(E) Use interval notation to indicate where f(x) is concave up and concave down.
(F) Find all inflection points of f.

Answer 3

Post a new question please