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Calculus Question Test is soon and need help!

 
 
Reply Sat 19 Oct, 2013 08:35 am
What is the answer to this? Please help!
Let f(x) = 3x^4 + 4x^3. Determine where f(x) is increasing/decreasing and concave up/down. Find all relative extrema and points of inflection. Use this information to graph y = f(x).

Thanks
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fresco
 
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Reply Sat 19 Oct, 2013 10:55 am
@machamppoke,
You need to differentiate once and equate the result to zero in order to establish (solve equation) for turning points (maxima and minima etc) .
You then need to differentiate a second time and establish whether the second differential coefficient is +ve (indicating a minimum) or -ve (a maximum) at the turning points, or equal to zero (for a point of inflection).
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