differentiate-the-function-yfracsin-theta2fracctheta

Question

Differentiate the function.
$y=\frac{\sin 	heta}{2}+\frac{c}{	heta}$

John Irizar · Accepted Answer

before I take my derivative, I&#x27;m going to rewrite why, and I&#x27;m gonna put it as 1/2 sign of data Plus and this state of here, I&#x27;m gonna take him from the denominator and move him up to the numerator playing, making his exponents negative. Okay, Now I can go ahead and apply the power rule. No. The derivative of the sign of Fada is the Crow Sinus data. So this will be 1/2 co sign of data and applying the power rule here. I will get negative C fada to the negative too. And finally rewriting everything. This will be co sign of data over to minus C over data squared.

Clarissa Noh · Answer

Hi, this is Claire. So in number 22 Section 3.3 years to respond. Calculus book. How so? It&#x27;s a different sheets equation. So first we&#x27;re gonna rewrite the equation. Yeah. Awesome. They&#x27;d have cost 60 times theater to the negative one. We&#x27;re gonna differentiate both sides. We get it. Terms of Pita. Do you already see the house? Sign? Data close. Do you? Do you see, uh, time See, time stayed at the negative one. And then after we pull out the constants that becomes, huh? You heard seed, huh? Fine. Data. Plus he turns thio three d favor. Come times data to the negative one, and then a place simplify this answer becomes Have co sign data minus Cee Lo Very. Hey, Data Square with that box for answer. We&#x27;re done.

Clarissa Noh · Answer

It&#x27;s clear, so enumerated Here. It&#x27;s the way of y equals sign times Coastline of data. So your first gonna use the product rule to expand So sign do you over defeat, uh, co sign plus co sign you over D fada sign. This becomes equal to negative sign Square Plus co signed square, and we&#x27;re gonna apply the double angle formula to simplify. Further. We get co sign of to data.

Heather Zimmers · Answer

we&#x27;re going to use the chain rule to find the derivative of this function. But first I&#x27;m going to rewrite the function. Remember, when you see co tangent squared, what it means is take the whole thing and square it so the squared is really the outermost function. So we have three layers here. The outermost function is the squaring function than the inner layer is a co tangent function and then the very most inside layer is the sine function. So let&#x27;s start our derivative by taking the derivative of the outside function. So we bring down the two and we raise co tangent to the first. Now we move on to the middle layer, which is co tangent, and it&#x27;s derivative is negative. Cosi can&#x27;t squared, so have negative. Cosi can&#x27;t squared of science data. Now we moved to the innermost layer the sign beta layer and we take its derivative with which is co sign data and to simplify. The only thing we can do is multiply the two and the negative together. So we have negative to times co tangent of science. Aita Times Coast. He can&#x27;t squared of science data Times co sign data

Amrita Bhasin · Answer

this question asked us to find the derivative of the function. For this question, it&#x27;s easiest to write it where everything is under the squared. It&#x27;s just easiest to picture cause now we can see where exactly the expert is. So we know that we&#x27;d make that our new co fishing and onwards Okay, For this question we can use U substitution you is sign of data. What&#x27;s inside R V is co tension of you and I are Why is vey square. So now we&#x27;re different shooting. Using the chain rule, we have to V. That&#x27;s the derivative of these squared times. Negative coast. He can&#x27;t you terms co sign of data. Remember you is sign of data. Therefore, this simplifies to be negative, too. Co tangent Sign of Data Times CO. C can&#x27;t squared sine of data Times CO sign of data. So basically, just remember to substitute and all of your values for U and V

Clarissa Noh · Answer

Hey, it&#x27;s clear. So when you right here. So we have Why equal? Seek it. Data engine data. We&#x27;re gonna use the product rule when we get secret. Data D Over. He stayed up of 10 plus Tangent data D over deed. Saito, who&#x27;s seeking yes equals sequence square and seeking becomes seeking times 10 gin. So that&#x27;s equal seeking Cubed plus seeking times 10 gents square.

Problem

Differentiate the function. $H(x)=\left(x+x^{-1}…

Problem 24 Easy Difficulty

Differentiate the function.
$y=\frac{\sin \theta}{2}+\frac{c}{\theta}$

Answer

$y^{\prime}=\cos (\theta) / 2-c(\theta)^{-2}$

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James Stewart

Essential Calculus Early Transcendentals

Grace H.

Heather Z.

Caleb E.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

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$y^{\prime}=\cos (\theta) / 2-c(\theta)^{-2}$

Essential Calculus Early Transcendentals

Grace H.

Heather Z.

Caleb E.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

James StewartEssential Calculus Early Transcendentals

Grace H.

Heather Z.

Caleb E.

Samuel H.

James Stewart

Essential Calculus Early Transcendentals