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Popular Functions >

extreme-x^2-x+3

Solution

extreme

Solution

Maximum (- \frac{1}{2}, \frac{13}{4})

Solution steps

f^{'} (x) = - 2 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{2},

Decreasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

- x^{2} - x + 3 : \frac{13}{4}

Maximum (- \frac{1}{2}, \frac{13}{4})

Graph

Popular Examples

extreme f(x)=x^4-12x^2-3x+2

extreme f(x)=x^2+6x+16

extreme f(x)=4x^3+6x^2

extreme g(x)=8-5sin(x),0<= x<= pi

extreme f(x)=13x+1/x

Frequently Asked Questions (FAQ)

What is the extreme-x^2-x+3 ?
The extreme-x^2-x+3 is Maximum(-1/2 , 13/4)