#Explicit Differentiation help

48 messages · Page 1 of 1 (latest)

dire venture
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Can someone help me set this up:
ysin6x = xcos6y

vital trellisBOT
fierce marsh
dire venture
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It's asking me to use implicit differentiation to find an equation of the tangent line but I am confused on how to set up the first step.

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I know I'm supposed to take the derivative from both sides with respect to x, so d/dx.

fierce marsh
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Okay so you're considering the curve $C := { (x,y) \in \mathbb{R}^2 ; y \sin6x = x \cos6y}$ ?

clear apexBOT
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Twenty

weary delta
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are they asking for the differenciation of the equation and finding what dy/dx= smth?

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which will be ur gradiend of tangent

dire venture
weary delta
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oooooh

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ok

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so u will differenciation both y sin6x and xcos6y

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so lets differenciate ysin6x first since there are 2 coeficient u will need to use product rule

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dy/dx(sin6x)+6ycos6x

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do u und how i got this?

dire venture
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1 sec let me check my work

weary delta
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ok

dire venture
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Okay this step is where I am missing something

weary delta
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which step?

dire venture
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I got: (dy/dx) (6cosx)

weary delta
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aaah

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u cannot do tht

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u must use the product rule

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for tht kind of ques

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x cos6y too u need to use product rule

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because they are 2 diff coeficients

dire venture
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Do you have a mic by chance?

weary delta
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ye

dire venture
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can I call you real quick?

weary delta
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can it be later

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i am in class

dire venture
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oh yeah no worries

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I think I just need to clarify one step and I'll be good

weary delta
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give me 3 min

dire venture
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no problem thank you!

weary delta
dire venture
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If you don't mind, I'd prefer to hear voice as It removes chances of confusion. Extrapolating from text is what's messing me up haha

weary delta
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ok

dire venture
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Where are you from?>

weary delta
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wait few min

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indonesia

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u?

dire venture
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Awesome thanks!

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US, California

weary delta
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aaaah

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ok can alr

dire venture
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you ready?