Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

Find dy/dx if y= tan(cos(e^sqrt(x^2+1)))

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SEE EXPERT ANSWER

To see the expert answer you'll need to create a free account at Brainly

its just an application of chaining a chain ....
\[\frac{d}{dx} f(g(h(k(...(x)))))=f'()~g'()~h'()~k'()~.......x'\]
wait what i dont get it..

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

amistre is showing off :D
@perl can u help?
all this amounts to is chain rule practice .... if you know the chain rule, then its just a matter of keeping a clean record
amistre, i dont thats right though
|dw:1366900627282:dw|
ok so im new to this ..can u teach me pls?
there are some cases where the mechanism of a derivative works, but the equation itself is bad .... i dont think this is the case tho
what do u want me to do?
:O
|dw:1366900684785:dw|
y= tan(cos(e^sqrt(x^2+1))) let: f = tan(g) g= cos(h) h = e^j j = sqrt(k) k = x^2+1
ok..
then find the derivative of each one, and multiply them all together ...
but hw can i take derivative of tan(g)(h)(j)(k) ?
take the derivative of f take the derivative of g take the derivative of h ... NOT take the derivative of f tan(g)(h)(k)...
ok so i go backwards?
let: f = tan(g) f' = ??? g= cos(h) g' = ??? h = e^j h' = ??? j = sqrt(k) j' = ??? k = x^2+1 k' = ???
take them one at a time
ok..so k'=2x and j'= 1/x^1/2 rite?
correct
except use the "variable" as in each case; only the last one uses an x
let: f = tan(g) f' = sec^2(g) g= cos(h) g' = -sin(h) h = e^j h' = j e^j j = sqrt(k) j' = 1/(2sqrt(k)) k = x^2+1 k' = 2x
ok can u wait fr a few moments..ill try solving the whole thing and tell u the answer so u can tell me if its right or wrong?
i would personally leave it in a "defined" format so that it is cleaner to write up
but tom i have an exam..so there i cant keep it clean..i have 2 give the answer..so ill solve it..would u pls pls check it?
ill chk it when your done ....
wait..fr e^j shouldnt it be e^j * d/dx of j?
hmmm, j' e^j yes, but your already solving for j' so thats really just e^j
the j' is part of the chain rule process, which you are already doing ....
good eye :)
:D thnx...fr ure help also.. :)

Not the answer you are looking for?

Search for more explanations.

Ask your own question