Question on: JAMB Mathematics - 2000

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

A
y = (3x2/)2 + 2x
B
y = (3x2)/2 + x
C
y = 3x2 + (x/2)
D
y = 3x2 +2x
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Correct Option: A

Hints:

  1. Integrate the given first derivative of f(x) at the boundaries, (0,0)

Then solve accordingly to get f(x) = y = (3x2/)2 + 2x

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