#calculus

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fierce comet
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how ๐Ÿ˜ฆ help me plssss #calculus

raven saddleBOT
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fierce comet
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im new with calculus

narrow fractal
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can you translate

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does the first one ask you to find the minimum and maximum value of the function in the given interval?

narrow fractal
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the first one you can do without derivatives

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notice that x^2=4x=4=(x+2)^2

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the minimum value is 0 at x=-2(which is in the given interval)

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and the max value in your interval is at x=-4 and x=0

narrow fractal
fierce comet
fierce comet
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number two's use teorema monoton for find where's function that given up or down

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third use teorema convexity for find where's function that given convexity to up or convexity to down

narrow fractal
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derivative rules here

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derivatives gives you the rate of change of a function at any x

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IG the second one is just asking where the function is increasing and where's it's decreasing

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if the derivative is >0 that means that the function increases