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15 votes
15 votes
Using the graph at right, where is the function increasing/decreasing? Where is the function concave up/down? Does this function have any

maxima or minima? Explain how you know

User Scessor
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1 Answer

19 votes
19 votes

Step-by-step explanation:

Start by calculating the first derivative of f(x) - use the quotient rule

ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2

f′=2x⋅(x2+3)−x2⋅2x(x2+3)2

f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤

User Kenwen
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