SOLUTION: Determine where the function is increasing and where it is decreasing. f(x) = 4x^2 - x

SOLUTION: Determine where the function is increasing and where it is decreasing. f(x) = 4x^2 - x - 3

Question 58010: Determine where the function is increasing and where it is decreasing.
f(x) = 4x^2 - x - 3
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Determine where the function is increasing and where it is decreasing.
f(x) = 4x^2 - x - 3
I HOPE YOU KNOW DIFFERENTIATION
F'(X)= 8X-1
F'(X)=0 AT X=1/8
F"(X) = 8 POSITIVE HENCE X=1/8 IS A MINIMUM.
X.............-INFINITY TO 1/8..........1/8...........1/8 TO INFINITY
F'(X)..................-VE...............0................+VE
F"(X)...................+VE..............+VE..............+VE
HENCE F(X) IS...........DECREASING.......MINIMUM POINT....INCREASING
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