SOLUTION: Sketch the graph of the following functions by using the conditions of concavity f(x)=(x^2-16)^4

Question 1205395: Sketch the graph of the following functions by using the conditions of concavity f(x)=(x^2-16)^4

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

find second derivative

'
''

So ′′ when

critical points of the derivatives are:
=> stationary
=> stationary
=> stationary minimum
=> stationary maximum

so, is
concave on
concave on
concave on

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