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You need to find all values of x for which the first derivative of the function is greater than zero.

Example: f(x)=x^2+5x+6

f'(x)=2x+5 = 0

x=-5/2

Consider intervals (minus infinity, -5/2) and (-5/2, infinity). Choose any number in each interval and examine the sign of f'(x), that is 2x+5. If it is positive, the function increases on that interval. If it is negative, the function decreases on that interval.

In this case, the function increases on (minus infinity, -5/2) and decreases on (-5/2, infinity).

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