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Popular Functions >

extreme f(x)=8-3x-6x^2

Solution

extreme

Solution

Maximum (- \frac{1}{4}, \frac{67}{8})

Solution steps

f^{'} (x) = - 12 x - 3

Find intervals:

Increasing

: - \infty < x < - \frac{1}{4},

Decreasing

: - \frac{1}{4} < x < \infty

Plug

x = - \frac{1}{4}

into

8 - 3 x - 6 x^{2} : \frac{67}{8}

Maximum (- \frac{1}{4}, \frac{67}{8})

Graph

Popular Examples

extreme f(x)=x^4-32x^2+8

extreme f(x,y)=2x^2-xy+y^2-6x-9y+7

extreme 12x^{2/3}-8x

extreme f(x)=sqrt(9-x^2),-3<= x<= 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=8-3x-6x^2 ?
The extreme f(x)=8-3x-6x^2 is Maximum(-1/4 , 67/8)