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Nikhil619
 2 years ago
Find dy/dx if y= tan(cos(e^sqrt(x^2+1)))
Nikhil619
 2 years ago
Find dy/dx if y= tan(cos(e^sqrt(x^2+1)))

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amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1its just an application of chaining a chain ....

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{d}{dx} f(g(h(k(...(x)))))=f'()~g'()~h'()~k'()~.......x'\]

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0wait what i dont get it..

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1all this amounts to is chain rule practice .... if you know the chain rule, then its just a matter of keeping a clean record

perl
 2 years ago
Best ResponseYou've already chosen the best response.0amistre, i dont thats right though

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0ok so im new to this ..can u teach me pls?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1there are some cases where the mechanism of a derivative works, but the equation itself is bad .... i dont think this is the case tho

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0what do u want me to do?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1y= tan(cos(e^sqrt(x^2+1))) let: f = tan(g) g= cos(h) h = e^j j = sqrt(k) k = x^2+1

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1then find the derivative of each one, and multiply them all together ...

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0but hw can i take derivative of tan(g)(h)(j)(k) ?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1take the derivative of f take the derivative of g take the derivative of h ... NOT take the derivative of f tan(g)(h)(k)...

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0ok so i go backwards?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1let: f = tan(g) f' = ??? g= cos(h) g' = ??? h = e^j h' = ??? j = sqrt(k) j' = ??? k = x^2+1 k' = ???

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1take them one at a time

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0ok..so k'=2x and j'= 1/x^1/2 rite?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1except use the "variable" as in each case; only the last one uses an x

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1let: 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

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0ok 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?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1i would personally leave it in a "defined" format so that it is cleaner to write up

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0but 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?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1ill chk it when your done ....

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0wait..fr e^j shouldnt it be e^j * d/dx of j?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1hmmm, j' e^j yes, but your already solving for j' so thats really just e^j

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1the j' is part of the chain rule process, which you are already doing ....

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0:D thnx...fr ure help also.. :)
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