Question

differentiate 1 over 2^t

Answer 1

what? how can I do that.....
there all part of one fraction

Answer 2

the answer is -2^(-t) ln 2. but i want to know how to get that answer?

Answer 3

I don't really understand about that..

Answer 4

first take log
log 2^-t= -t (ln2)

Answer 5

wwhats on other side
?

Answer 6

it same when we differentiate the exponent.. for example: e^-x
solution: e^-x.-1.ln e = e^x...
for this problem u should be let exponent to be 2..
so the solution:
2^-t.-1.ln 2 =-2^-t ln 2

Answer 7

did u get it?

Answer 8

not so.. pls explain further tq..

Answer 9

Ahh...I know it...thank you @sha0403

Answer 10

how there is ln 2? and not ln 2^t?

Answer 11

because it known as formula.. have u see my solution of the exponent? we must let e to be 2 in 2^-t

Answer 12

ohh yes. now i can recall back. TQVM sha :)

Answer 13

welcome :)