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IMPLICIT DIFFERENTIATION

Find y’ for y = sin(3x + 4y) Find y’ for y =xy3 +xyz

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02:04

Use implicit differentiation to find$\frac{d y}{d x}.$$$\sin x+\sin y=y$$

01:03

Find $y^{\prime}=\frac{d y}{d x}$ using implicit differentiation.$$y=x \sin y$$

02:09

Find $d y / d x$ by implicit differentiation.$y=\sin x y$

02:42

Use implicit differentiation to find$\frac{d y}{d x}.$$$\sin x y=x+y$$

Transcript

Hello. In the given problem. We have to find the first derivative of the function wise girl to sign. Three express for Y. So this would be given by wipe time. So this is equal to Y plus white time. And this would be the derivative of this function with respect to X. Or this is signed three X plus four Y. With respect to eggs. Do you have this thing with respect? Works. No. When we differentiate this. So this is why prime. When we differentiate this. Well first differentiate the function sign with respect to X. So that would become cost The cost of three x plus four way. Next will be differentiating three X plus four. Vydra’s with respect to X. So that would become three plus four divide over dx. And that will be in the multiplication. So basically with this Y. Prime is also divided over dx. So let’s write this as V I prime. So we’ll just replace divided by dx as divide over dx as Y. Dash. Oh this will be Y dash physical too. Three costs three x plus four y plus. This would become four because three X plus for way and Y prime. Now we’ll take this whole thing to the left so as to separate the pipeline. So Y. Prime. And if I take this and take my prime comments. So this will be 1 -1 forecasts three X plus for way. And this would be equal to three costs three x plus four way. So finally we get the vibe time as three of course three x plus four way. All divided by one minus four costs of three X plus four. Right? So that would be the answer for the party. Now coming to the party B We have the function Vice girl too, X squared Y cubed plus X cubed Y…

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