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Popular >

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

Solution

extreme points

f (x) = - 3 + x - x^{2}

Solution

Maximum (\frac{1}{2}, - \frac{11}{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

- 3 + x - x^{2} : - \frac{11}{4}

Maximum (\frac{1}{2}, - \frac{11}{4})

Popular Examples

extreme f(x)=5+54x+2x^3,0<= x<= 4 extreme points

f (x) = 5 + 54 x + 2 x^{3}, 0 \leq x \leq 4

extreme f(x)=x^3-4x^2+5x extreme points

f (x) = x^{3} - 4 x^{2} + 5 x

extreme f(x)=(x^3)/3-4x^2+12x,0<= x<= 7 extreme points

f (x) = \frac{x ^{3}}{3} - 4 x^{2} + 12 x, 0 \leq x \leq 7

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

f (x, y) = x^{2} + y^{2} - 1

extreme f(x)=2x^3-12x^2+18x-5 extreme points

f (x) = 2 x^{3} - 12 x^{2} + 18 x - 5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3+x-x^2 ?
The extreme f(x)=-3+x-x^2 is Maximum(1/2 ,-11/4)