Suppose ()=ln(()) , where ()>0 for all real numbers and is differentiable for all real numbers. If (4)=2 and ′(4)=−15 , find ′(4) .

f(e) = 3 iff a*ln(2e+b) = 3 iff 2e+b = e^(3/a)

f ' (e) = 6/e iff 2a / (2e+b) = 6/e iff 2e+b = ae/3 = e/(3/a)

Then, e^(3/a) = e / (3/a)

We're looking for x such that e^x = e/x.

This kind of equation can't be solved analytically, in general,

but here we've got an obvious solution : x = 1

Hence a = 3,

and then b = -e

Step-by-step explanation:

what "following statement"?

step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )