Question

Consider the function: f(x) =3/4x^4 - x^3 -3x^2 + 6x
Show f(x) is concave up at x = −2, x = −1, and x = 2. And show f(x) is concave down at x = 0.

Answer 1

@dan815

Answer 2

What math level is this for?

Answer 3

Calculus

Answer 4

Alright good,

So we know then that the 2nd derivative of this function is the test for concavity

So all we need to do is take the 2nd derivative of this function...then plug in the corresponding 'x' values given

If the answer coming out is positive, we have an upward concavity...negative would downward

Answer 5

Alright thank you! I was able to do the problem!