Question

Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks] Note: f'(x) = 2x divided by (x2 +4) f''(x )...

Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks]

Note: f'(x) = 2x divided by (x2 +4) f''(x ) = 2(4-x2) divided by (x2+4)2 (I was unable to put divide sign)

a) On which intervals is increasing or decreasing?

b) On which intervals is concave up or down?

c) Sketch the graph of f(x) Label any intercepts, asymptotes, relative minima, relative maxima and inflection points.

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