#graph derivative

17 messages · Page 1 of 1 (latest)

nimble flume
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Someone please explain to me how I can find the derivative of a graph when the only thing I'm given is the sketch of the original graph. PLEASE!!!

spare bough
night sinew
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it’s honestly something that isn’t the most intuitive i remember when i started graphing integrals and derivatives of a given f(x) it was so mind twisting

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you basically for derivatives have to think to yourself what is the rate of change (negative or positive) at every point in the graph

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the best way to improve is to see various juxtapositions between f(x) and f’(x) to understand and get use to the patterns

nimble flume
night sinew
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it would be B

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from the negative side of the x axis till zero, the rate of change is positive for the top graph so the derivative graph would only be positive up to zero on the x axis

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then from 0 and beyond the rate of change for the top graph is negative which is seen in graph B

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and then for the f(x) the rate of change AT 0 is 0 due to horizontal nature

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so hence at x= 0, y=0

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And you may say, well everything i listed is also seen in graph F which is true so this is where you need to understand rate of changes even more

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at the start of f(x) the rate of change is near vertical making it almost zero, this is reflected in graph B starting near zero

nimble flume
night sinew
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oops my last sentence screwed me up

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the graph of f(x) has a near vertical slope at the start so its rate of change starts high reflected in graph f

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my bad