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lovesit2x
 one year ago
Best ResponseYou've already chosen the best response.0what does dx/dy equals

Hoa
 one year ago
Best ResponseYou've already chosen the best response.0I just want to make sure the question, because dx/ dy !=dy/dx

Hoa
 one year ago
Best ResponseYou've already chosen the best response.0if it is dx/ dy. it's not easy to solve. you must solve for x first , then take derivative respect to y.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0it will behave implicitly

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0i think she means dy/dx

lovesit2x
 one year ago
Best ResponseYou've already chosen the best response.0i thought i had to find the derivative and then solve for y

Hoa
 one year ago
Best ResponseYou've already chosen the best response.0@mathsmind you help her, ok?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0can u double check the question plz

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0it must be dy/dx at ur level

lovesit2x
 one year ago
Best ResponseYou've already chosen the best response.0\[Find \frac{ dx }{ dy } for the following function. Y = sinx + 5e ^{0.4x}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0u allowed everyone to escape from this question hehehehe

lovesit2x
 one year ago
Best ResponseYou've already chosen the best response.0lol i know, i wish i could escape it too

lovesit2x
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 rescue me please

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0ok i will solve it all it is implicit differentiation but in terms of x

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so when u diff sin(x) it will be cos(x)dx/dy

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0and y will become 1 when u differentiate it

Xavier
 one year ago
Best ResponseYou've already chosen the best response.1Just find dy/dx and take the reciprocal.

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0they are not the same

Xavier
 one year ago
Best ResponseYou've already chosen the best response.1Look, dx/dy = 1/(dy/dx)

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0no it does not work like that

Xavier
 one year ago
Best ResponseYou've already chosen the best response.1I hope you're kidding. I'm not manipulating fractions

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0look multiply both sides

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0u r missing the chain rule this is calculus not algebra

Xavier
 one year ago
Best ResponseYou've already chosen the best response.1http://math.stackexchange.com/questions/292590/isdxdy1dydxincalculus

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0the case where u use a reciprocal is by using the chain rule and cancelling each term out

Azteck
 one year ago
Best ResponseYou've already chosen the best response.0Can't you implicit differentiate in this situation?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0yes that is different from ur fomula

lovesit2x
 one year ago
Best ResponseYou've already chosen the best response.0im even more confused...

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0he wants u to use L rule

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0which is similar to what i said about the chain rule

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0Lebenz derived a formula from the chain rule

Azteck
 one year ago
Best ResponseYou've already chosen the best response.0\[\large y=\sin x+5e^{0.4x}\] \[\large 1=(\cos x +2e^{0.4x})\frac{dx}{dy}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0nope i told u don't do that, unless if u want to apply Lebenz rule u need to take the inverse of the function then take the reciprocal ...

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0because calculus is about functions and expansions

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0read that carefully If the derivative of y = f(x) is dy/dx, then the derivative of the inverse function which expresses x in terms of y is given by the formula

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0in other words ur Lebenz works if x= sin(y)+5e^y

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so u can take the inverse of the function then apply the rule ok

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0i told u they are not the same but thanks anyway for bribing the topic up

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so take the inverse of the function then use the rule

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0or solve it implicitly as i started

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0if the case was simple like this then implicit differentiation would have never exist

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0\[y = \sin(x) + e^{0.4x} \longrightarrow 1=\frac{dx}{dy}\cos(x)+2\frac{dx}{dy}e^{0.4x}\]

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0the method u use is solving this in an implicit way

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0take dx/dy as a common factor

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0well @Xavier ur method also works congratulation!

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so both methods work fine, actually u made me come with a new theory in math, or a different proof for Leben'z formula. although maths is not my major, but i will write a new paper on this and publish it

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0not just that i will change my proof for Kepler's laws of motion ...
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