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Popular >

extreme f(x)=4-x-x^2

Solution

extreme points

f (x) = 4 - x - x^{2}

Solution

Maximum (- \frac{1}{2}, \frac{17}{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

4 - x - x^{2} : \frac{17}{4}

Maximum (- \frac{1}{2}, \frac{17}{4})

Popular Examples

extreme x^3-12x^2+36x+1 extreme points

x^{3} - 12 x^{2} + 36 x + 1

inverse of f(x)=x^2-12x+36 inverse

f (x) = x^{2} - 12 x + 36

inverse of f(x)=8x^3-5 inverse

f (x) = 8 x^{3} - 5

shift f(x)=-cos(-x)+3 shift

f (x) = - cos (- x) + 3

midpoint (2,-7),(7,3)midpoint

(2, - 7), (7, 3)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4-x-x^2 ?
The extreme f(x)=4-x-x^2 is Maximum(-1/2 , 17/4)