Question

So find the interval
decreases
in which the function f(x) = ė 3x​

Answer 1

f(x) = e^(3x)

"Let "x_91), x_(2) in R and x_(1) lt x_(2)

"Now "x_(1)lt x_(2)

rArr " "3x_(1) lt 3x_(2)

rArr" "e^(3x_(1))lt e^(3x_(2))

rArr" "f(x_(1))lt f(x_(2))

:. " "x_(1) lt x_(2)

rArr" "f(x_(1)) lt f(x_(2)) forall x_(1), x_(2) in R

rArr

f(x) is strictly increasing function on R.