Consider the equation below. f(x)=x3-3x2-9x+3 a) Find the interval on which f is increasing. (answer using interval notation) b) Find the interval on which f is decreasing. (answer being interval notation) c) FInd the local min and max values of f.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the equation below.

f(x)=x3-3x2-9x+3

a) Find the interval on which is increasing. (answer using interval notation)

b) Find the interval on which f is decreasing. (answer being interval notation)

c) FInd the local min and max values of f.

d) Find the inflection point (__,__)

e) find the interval on which f is concave up.(interval notation)

d)find the interval on which f is concave down(interval notation)

 

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