Post-Lecture Exercise

a) f(x) = (3x2 - 4)1/2 f '(x) = 3x(3x2 - 4)-1/2

b) f(x) = 3 (ln x)2 f '(x) = 6 ln x/x

c) f(x) = 4e3x^2 f '(x) = 24xe3x^2

d) f(x) = (x2 + 4)/ln 4x

f '(x) = (2x ln 4x ñ (x2 + 4)1/x)/(ln 4x)2

e) f(x) = 3(x2 - 2x)2

f '(x) = 6(2x - 2)(x2 - 2x) = 12x(x ñ 1)(x ñ 2)

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