Problem

Is there an example of two functions, $u(x)$ and …

Problem 6 Easy Difficulty

Is there an example of two functions, $u(x)$ and $v(x),$ for which $[u(x) \times v(x)]^{\prime}=u^{\prime}(x) \times v^{\prime}(x) ?$

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Calculus 1 / AB

Calculus for the Life Sciences: A Modeling Approach Volume I

Chapter 6

Derivatives of Products, Quotients, Compositions

Section 1

Derivatives of Products and Quotients

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Video Transcript

uh since we just need to give one example and I could give a lot. But anyway, what we just want is two functions. I believe the notation is just the derivative of each derivatives. That's the X plus G fx. Um And I'll write it this way that you can just take the derivative of each piece. And what needs to happen is that needs to equal uh two X plus three. So my suggestion would be just to take F of X and make the drift of of fx equal this piece. Well, that would be really easy if you just let F of X equal uh X squared because the derivative of X squared is two X. And then the same token, I can just say, well what functions derivative will give me three? The quick answer would be that who knows what Siggy? Yeah. As if it was three X. Because the derivative of three X is three and would be done. Um Now if you want to make it more complicated, you could but let me circular this answer or really what you could do is just that F. A bex equal to X squared plus three X. And let G. Of X equal any other content as long as there's no variable in there. Because the director of ffx would be two X plus three, and then the derivative of G of X will be zero and it's still satisfy that equation. There's an infinite number of correct answers. I use that to pick one example. That's all they asked for. But I gave you two here. Uh You can go with

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James L. Cornette

Calculus for the Life Sciences: A Modeling Approach Volume I

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