Question

Find the exact coordinates of the point at which the following curve is steepest 55/(1+4e^(-3x))

Answer 1

so you want a maximum for slope...

Answer 2

the slope (derivative) is f '
so you're looking for f ' ' = 0

Answer 3

yea how do you do that with this kind of problem? I just end up with a mess of numbers

Answer 4

it's a bit messy..

Answer 5

did you find f ' ?

Answer 6

use the quotient rule...
\[\frac{ 55(12e^{-3x}) }{ (1+4e^{-3x})^2 }\]

Answer 7

isn't that a -12?

Answer 8

oh nvm the negatives cancel

Answer 9

ok then the second derivative then what do i do with the second derivative? its just the numerator equal to zero right?

Answer 10

#Algebraic!
@Algebraic!