find-the-derivatives-of-the-given-functions-y3-x2-cos-3-x-pi-3

Question

Find the derivatives of the given functions.
$$y=3 x+2 \cos (3 x-\pi)$$

Tyler Moulton · Accepted Answer

All right. We want to find dy dx for the function Y equals three X plus to co sign three x minus pi to do so, we&#x27;re gonna rely on different shortcuts that we picked up through single variable calculus, particularly those relating to trigger geometric functions. Co sign inside. So these rules are on left. Zero is GDX in Mexico&#x27;s coast. Xdd Exco sex is negative sine X. And then rules one through three on the right are the powerful product rule and change respectively. For this particular problem, we&#x27;re gonna rely on rule 01 and three to solve so why equals three experts to cosign directions. Pie is already in the most easily differentiable form so we can proceed straight to the derivative. Dy dx is three. This is by the power rule minus. To sign three, explain this Pie. This is my rule zero Times three, multiplying the derivative. What&#x27;s inside of three X -9. Thus we have final solution. D Y E x is equal to three minus six sign of three X minus pi.

Amrita Bhasin · Answer

this question gives us why is co sign of a huge plus X cubed and asked us to differentiate what we know that the derivative of CO sign you is negative. Sign of you times you prime or the derivative on the inner. Therefore, we have negative sign of a cube plus X cube times the derivative of the inner. This is a constant there for the devil Constant zero What&#x27;s the derivative of X Cubed three X square. Now, lastly, we should simplify this negative three x squared sine of a cubed plus x cubed. And this is our

Nicholas Barvinok · Answer

we want to find the derivative of the function a cube plus co sign Cubed of X. So the first property of derivatives that we&#x27;re going to use is the fact that the derivative of a sum is the sum of the derivatives of the individual terms. So we can just differentiate, turn by turn. So we get that the derivative is the derivative of a cube, plus the derivative of co sign Cubed X. Now a cube is just a constant, so it&#x27;s derivative of zero. So this whole thing is really just equal to the derivative. Been cubed X now to take the derivative of coastline Cute X, we&#x27;re going to use the chain rule because we have the composition of functions here. The outermost function is raising something to the third power and the innermost function is co sign of X. So as the chain role dictates, we start with the outside function, raising something to the power of three, and we apply the power rule. So the director of a cubed, as we said, was zero. Now to take the derivative of coastline cubed X, we first get three co sign squared X by the power rule and then by the chain rule. We multiplied by the derivative of the Inside Function Co sign X, which has a derivative of minus sine X, which finally gets us our final answer by just rearranging things a bit. Minus three co sign squared X signed X, and that&#x27;s it.

Sid Wan · Answer

okay. We want to find the derivative off, dysfunctional. Why? Cause selective consigned to explore us? Cause I Hi over six. Why private? Because this party is a constant, right? This a lumber. There&#x27;s no blur but there. So you got just equal, Cyril. And you take a deer of so just this part consigned to X Now that you&#x27;ve signed to excite to act, multiply his far directly with two channel to assign to X.

Sid Wan · Answer

twenty two we have. Why was three co sign x Our far Mona&#x27;s? Cause I look thiss car looks We just need to use quotient plus Lina&#x27;s cause I square top on Derivative is back You sri sai acts What price for the war. So frak bottom What directive is fine? What a black top one Sorry, because I and that&#x27;s it because somebody five Barton laws like fifteen sign at plus three side at cause I eggs coz some tracks race Okay, he&#x27;s got cancer, fathers, mothers, coastline where, like fifteen

Sid Wan · Answer

number eighteen. We have y equals cause I lodge a log to Axe Cube. Absolute value. So still just good general collective. Sign off. That part has a lot to X cube, but fly directive off This part is one over to excuse. Yes, that&#x27;s his sign to execute to you.

Problem

Find the derivatives of the given functions. $$y=…

Problem 9 Easy Difficulty

Find the derivatives of the given functions.
$$y=3 x+2 \cos (3 x-\pi)$$

Answer

$\frac{d y}{d x}=3-6 \sin (3 x-\pi)$

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Heather Z.

Kayleah T.

Caleb E.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

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$\frac{d y}{d x}=3-6 \sin (3 x-\pi)$

Basic Technical Mathematics with Calculus

Heather Z.

Kayleah T.

Caleb E.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Heather Z.

Kayleah T.

Caleb E.

Michael J.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus