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Mathematics 8 Online
OpenStudy (anonymous):

2^(ex) derivative

OpenStudy (anonymous):

i got e*2^(ex). which is wrong

jimthompson5910 (jim_thompson5910):

Hint: the derivative of b^x is b^x*ln(b) where b is any real number

OpenStudy (anonymous):

ok. so it will be 2^(ex*ln(2))? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

close, but not quite

jimthompson5910 (jim_thompson5910):

more like 2^(ex)*ln(2)

OpenStudy (anonymous):

oh ok. i read the formula wrong. i thought ln(x) was an exponent.

jimthompson5910 (jim_thompson5910):

i gotcha

OpenStudy (anonymous):

hmm i think you need another factor out front then again i have been wrong all night

jimthompson5910 (jim_thompson5910):

oh right, forgot about the chain rule

OpenStudy (anonymous):

wow i got one right! now i can retire

jimthompson5910 (jim_thompson5910):

it should be e*2^(ex)*ln(2) since you derive the inner function ex to get 'e'

OpenStudy (anonymous):

ok so i have to just find the derivative of ex and multiply by ln(2) right.

jimthompson5910 (jim_thompson5910):

exactly

OpenStudy (anonymous):

and then times by 2^(ex)

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (anonymous):

ok great. Thankyou very much @jim_thompson5910 and @satellite73 P.S. don't retire, we need you

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