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AmrnistYou have answered aut of Duls correctLet f()Then according the definition of derivativef" (x)(Your answcr above and the next few answers below will invo...

Question

AmrnistYou have answered aut of Duls correctLet f()Then according the definition of derivativef" (x)(Your answcr above and the next few answers below will involve the variakles / and x) The expression inside the litnic sitplifes simple traction with numeNtotand denominatorCan cince the facror"ppearing che denominator againsc similar factor #ppearing; in the numeratorleaving simpler Gaction wich muMICEEOand dcnominator Taking; the limnit of this 6ractional expessuon Fves0"(x)

amrnist You have answered aut of Duls correct Let f() Then according the definition of derivative f" (x) (Your answcr above and the next few answers below will involve the variakles / and x) The expression inside the litnic sitplifes simple traction with numeNtot and denominator Can cince the facror "ppearing che denominator againsc similar factor #ppearing; in the numerator leaving simpler Gaction wich muMICEEO and dcnominator Taking; the limnit of this 6ractional expessuon Fves 0"(x)



Answers

Use the fact that $f(x)=u(x) / v(x)$ can be rewritten as $f(x) v(x)=u(x)$ and the product rule for derivatives to verify the quotient rule for derivatives. (Hint: After applying the product rule, substitute $u(x) / v(x)$ for $f(x)$ and simplify.)

Okay, so we're asked to use the fall in fact four and the product rule for derivatives verified at the caution role for derivatives. Okay, so let's start with this equation and we're gonna take the derivative. So we have you prime of X that's equal to halftime. Abets times the rex plus the prime of X times athletics. Okay, so from there, it's solved for F Prime Becks. So we're going to subject this on both sides. So we get you prime of X minus V. Prime of X of flex is equal to have part of X times Biava now on divide, privy of accessible sides through the city with after prime of X. Well, noticed that after backs is devoted following. So we'll put that in here. So we have you prime of x minus you prime of x and then we have of relaxes you of X over B of X all over. You bet. Okay, So since we have with nominator of your backs here, it's mortifying. Be of Axel review of Exeter to combine, um, this into a single fraction. So that is equal to know Botox time, Hugh. Crime of X minus. You prime of x times, you Rex All overview of X with all over B of X and that's equal to our Kocian role all over your X squared, which is you go to F prime of X.

And the functional dependency. Look, now we can simply the function as are killed. Include I gave him the bond of must you prepared up? Looked Might keep the bond of get us You can look last one. So do top of Nunavut culture to ponder Look less one. Mom, I find your desktop so derivative of the function The last one make our little you didn't have off duty post Newmark did off one people didn't go up. Thus we ever did them. No question about someone, you know, Final answer.

In just question. Given the function after you because George W about three minus one year. You you noticed them. We consume different this expression here by everything that was a w About three hour wnew stopping you over. W yes, minus sorry. And I was, say, the 1st 1 We get to go to the w Burgio minus one and then the airframe doubly. You begin the definitely square Bram Prime. And we know for any constant Saley riveting it could you zero and find out. I will, drew. But it was in the end, times familiar and minus one. Therefore was good. Now will be to Thames your jeweller minus one plus zero. Here they were getting complete you that you

Here in the question it is given the function F x or to X plus one willing to three x two. First, we need to simplify this emotionally. Connect this next record toe next plus except yes. 123 square one. Find well at six x. Q. Loves politics left yet. Bless you. It is 1/4 to six. Execute the severe thing that comes. Yes, it's Let's do no. We need to find that there you till the plastics. And next we need to find a Nativity off little sense. So I took to be with the eggs. 66 Yes, you might be Excel t exclude plus de itself cortex. Let's go back to 1/4 Have six x killed with 16 to 3. Expert Last Medicare three explainable between Lex. Better for next week before. Very cool. Visitor. I really wish that the answer. 66 Let's for


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