Recent content by Sethka

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    Finding the First Derivative of a Polynomial Function

    Oh! Thank you! Funny how the simplest things can seem so hard. I feel silly now.
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    Finding the First Derivative of a Polynomial Function

    I guess I risk coming off really stupid but I do mean the first one (7x^2)/2 It looks so simple I know, but I'm not sure which direction to go with the 2. Sorry if I'm wasting your guys' time or anything, but I can't see what the answer should be.
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    Finding the First Derivative of a Polynomial Function

    I've got f(x)=x^2-(7x^2)/2-9x+3 I need to find the first derivative of it but I get as far as 2x- but I'm stumped as to what to do with (7x^2)/2 Would I use the quotiant rule? Or should I somehow bring the 2 up to the top and if so how do I do that?
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    Understand Decreasing Function: Limit g'(x) at Infinity

    Now what should I look up to understand a question like this one: Function h is decreasing on the interval [4,infinity) and lim h(x)(with x approaching infinity)=8, what would be the limit g'(x)(with x approaching infinity)? I don't nessicarily need the answer, but could someone point me...
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    What is the limit of g'(x) on the interval (a, ∞) as x approaches infinity?

    When a question asks along the lines of : "If a function (g) is decrasing on the interval {x,x)...What would the limg'(x) be (As it approaches infinity)" What are they looking for? and whatequation am I using? I'm not looking for too much info on how to do, but which direction should I go...
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    Optimizing Isosceles Triangle Area with Limited Materials

    I'm just throwing the question out the window. I called a friend and he can't figure it out either, I think it was a bad translation or something. Here;s another one, not quiet so strange though but it's the same sort of problem. A woman owns a large flock of sheep and she needs to build...
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    Finding Absolute Extreme Values of f(x)=2x^3-3x^2-12x+1 [-2,3]

    Thanks! Oh Wow Nocturnal! You've just helped me make sense of something I never really understood for the last two months! You're awesome! Thanks! My textbook sounds belligerent on the topic, so I skipped it and just never really learned it all this time.
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    Optimizing Isosceles Triangle Area with Limited Materials

    I don't think their height is coming into play. Sorry i was paraphrasing a bit, by planks, think of a fence, so he has 600 yards of fencing. I think i need to know how big of a triangle as seen from above he could make.
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    Optimizing Isosceles Triangle Area with Limited Materials

    Well Strange to me at least, A man wants to build a patio on his house in the shape of an isosceles triangle. He wants to build the side walls out of pink planks, but he has only 600 yards worth of planks. Find the dimensions of the largest area he can build if he's using the side of his...
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    Finding Absolute Extreme Values of f(x)=2x^3-3x^2-12x+1 [-2,3]

    Hey guys, f(x)=2x^3-3x^2-12x+1 [-2,3] I need to use the extreme value theorm to find the absolute extreme values of this function. So far, I've got: f'(x)=6x^2-6x-12=6(x^2-x-2)=6(x-2)(x+1) x= 2,-1 Now what do I do? Please explain in a manner a non-math student can comprehend...
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    Estimating cot(46°) Using Method of Differentials

    Oh Thanks! Thanks you guys, My textbooks are a little backwards it seems. Where one asks me to use method of differentials the other teaches linear aproximation, that was so confusing and now I see why. Thanks A bunch!
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    Estimating cot(46°) Using Method of Differentials

    I am completely lost on these differentials! Can anyone help me make sense of them? Especially this question in particular: cot(46(deg)) (Sorry, I don't know how to make that small little circle thing that denotes degree) I'm supposed to use the method of differentials to estimate...
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    Mastering Trig and Integrals for Success | Tips and Tricks Included!

    Trig and Integrals! Hi there, this is my first post here and I'm hoping someone can help me out, I'm working on an assignment with integrals and while I can manage workng out the number versions of the question just fine I've now encountered Trig functions in integrals and I've hit a brick...
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