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Popular Functions >

extreme x^2+x-6

Solution

extreme

Solution

Minimum (- \frac{1}{2}, - \frac{25}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{1}{2}

into

x^{2} + x - 6 : - \frac{25}{4}

Minimum (- \frac{1}{2}, - \frac{25}{4})

Graph

Popular Examples

derivative of 7x^3y^2+34x^2y^5

extreme f(x)=7x^9-9x^7-7,-3<= x<= 3

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

extreme f(x)= 5/((x-5)^2)

extreme y=(x^3)/3+4x^2+15x+7

Frequently Asked Questions (FAQ)

What is the extreme x^2+x-6 ?
The extreme x^2+x-6 is Minimum(-1/2 ,-25/4)