Question

Determine intervals on which the function is decreasing:
f(x) = e^6x - e^11x

I have derivative: 6e^6x - 11e^11x

Answer 1

let it =0 solve for x
consider f'(x) respect to that x. Where f' (x) <0, f(x) decreases

Answer 2

So x = -(ln11/6) / 5 ?

Answer 3

Yes, just making a small switch, and bringing back in the inequality (which should have stayed throughout), you have:

x > (1/5) ln (6/11)