Question

Consider the function f(x)=x2e5x.

f(x) has two inflection points at x = C and x = D with C≤D
where C is ?
and D is ?
Finally for each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD).
(−∞,C]: CU
[C,D]: CD
[D,∞) =CU

Answer 1

x^2*e^(5x)

Answer 2

you need the second derivative
it is \(e^{5 x} (25 x^2+20 x+2)\)

Answer 3

ya got that

Answer 4

set the quadratic part equal to zero and solve

Answer 5

since \(e^{5x}\) is never zero

Answer 6

oh ok thats what was confusing me

Answer 7

thank you

Answer 8

good
yw