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Popular Functions >

extreme f(x)=-3x^2-x+2

Solution

extreme

Solution

Maximum (- \frac{1}{6}, \frac{25}{12})

Solution steps

f^{'} (x) = - 6 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{6},

Decreasing

: - \frac{1}{6} < x < \infty

Plug

x = - \frac{1}{6}

into

- 3 x^{2} - x + 2 : \frac{25}{12}

Maximum (- \frac{1}{6}, \frac{25}{12})

Graph

Popular Examples

extreme f(x)=x^2+2x+1

extreme f(x,y)=(x-1)(y+2)(x+y-2)

extreme f(x,y)=(13720)/x+(13720)/y+5xy

extreme f(x)=4x^3-8x

extreme f(x)=12x^5+45x^4-360x^3+6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2-x+2 ?
The extreme f(x)=-3x^2-x+2 is Maximum(-1/6 , 25/12)