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Topic 3 Assignmentdy Determine the derivative for the following implicit expression5 . sin(3 . x) + 3 . tan(4 . y) - sin(z) = 3PreviousNext >Overview...

Question

Topic 3 Assignmentdy Determine the derivative for the following implicit expression5 . sin(3 . x) + 3 . tan(4 . y) - sin(z) = 3PreviousNext >Overview

Topic 3 Assignment dy Determine the derivative for the following implicit expression 5 . sin(3 . x) + 3 . tan(4 . y) - sin(z) = 3 Previous Next > Overview



Answers

Differentiate implicitly to find dy/dx. $$(x-y)^{3}+(x+y)^{3}=x^{5}+y^{5}$$

Okay, so let's start by taking the derivative of both sides. So we have do you de or de ice from both sides and we'll start with your left hand side. So taking are derivative of this turn you yet we're gonna use our power role. So we'll bring down our duty to now it's 15 XT it back to, and that's equal to the derivative of history. So we have our parral. So we have We're gonna bring out to show that six. Why an in a derivative over inside. That's why over the X plus the derivative of this turn which is four d y over the X Okay, so we can see that we can factor out a d d y over the x for my right hand side. So we get the falling and now we want to solve for D Why over two x So a divide both sides by six wife was for that. So he gets, uh, do you? Why, over the X that's equal to 15 x grade over a six. Why? What's for

Hello Friends. We have to find that. Dy over dx were differentiating that given expression by implicitly. So it is given that X to the power of two by three plus Y. To the power of who were three? Yeah cost to five. Okay so we will differentiate it with respect to X. Saudi upon dx Half actually power to buy three. This the upon dx Where to the power to buy three because 20. So it will be cost too differentiation of extra about whether it will be To wear three extra. The power to buy 3 -1. Yes, Differentiating of this with regard to the power two or 3 -1. Do you ever dx He calls to zero differentiation of The upon the X or five x equals to zero. So we can add it two or 3 X to the power of -1 x three plus. To where they were to the power of minus. When we're three d by upon DX equals to zero. Okay so we can add it two Y three Y to the power. One is one by three. They were up on the exit the cost two months of two or 3. I have two departments 1 x three. So the so levi upon dx. So this will be cost to minors of extra departments when we're three upon where two departments one way three so do I. We're the X. So this will because two minus off Q. Group viable X. So this is the answer. I hope you understood. Thank you.

Hello. We are to find out by the US for this kind of thing. Sent to xq by two x Q by minus X Q minus X Q plus five equals to zero plus five equals to zero. The point is management common three Yeah, yeah. The point is one comma three minus one comma three. So we will do implicit differentiation with respect to X. So that is six after square. Right. Plus two x Q Divide by DX must three x squared plus two zero. So we can I be via Bondi exit Question three x described minus six X squared y I want to execute So it will be borders believing cost too. Three minus six Yeah, Yeah, upon two x This is the value of virus. Yeah, you have to find the virus at the given 0.1 husband from a three will be three minus six in group three upon Go into a man is born That is the first two three minus 18. Yeah, Yeah. 11 is two providers at the given Point Management Command will because to 15 upon two Mhm. This is the value of ideas at the grand point. I hope you're not sure. Thank you. Yeah

Hello program. About six here functions as you may skew Pless the exploits square minus minus to fight a considerable from Know why, you know X We need to find which is minus effects. Like if my which is equal to minus off. Three X squared plus three lines square here and by three y squared minus fine brings violence to four.


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