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lovesit2x
 2 years ago
Find dx/dy for the following function:
y=sinx+5e^.4x
dx/dy =
lovesit2x
 2 years ago
Find dx/dy for the following function: y=sinx+5e^.4x dx/dy =

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

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

Hoa
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0it will behave implicitly

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

mathsmind
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0Can't you implicit differentiate in this situation?

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

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

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

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

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

Azteck
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0because calculus is about functions and expansions

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

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

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

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

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

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

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

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

mathsmind
 2 years 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
 2 years 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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