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Popular >

extreme f(x)=-x^2+5x-6

Solution

extreme points

f (x) = - x^{2} + 5 x - 6

Solution

Maximum (\frac{5}{2}, \frac{1}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{5}{2},

Decreasing

: \frac{5}{2} < x < \infty

Plug

x = \frac{5}{2}

into

- x^{2} + 5 x - 6 : \frac{1}{4}

Maximum (\frac{5}{2}, \frac{1}{4})

Graph

Popular Examples

extreme f(x)=-x^2+5x-1 extreme points

f (x) = - x^{2} + 5 x - 1

extreme f(x)=(0.9)/(1+6e^{-0.32x)}extreme points

f (x) = \frac{0.9}{1 + 6 e ^{- 0.32 x}}

extreme f(x,y)=x^2+3xy+4.5y^2+4x extreme points

f (x, y) = x^{2} + 3 x y + 4.5 y^{2} + 4 x

extreme 5x^3-3x^5 extreme points

5 x^{3} - 3 x^{5}

extreme S(u,t)=(u+u^0)/2*t extreme points

S (u, t) = \frac{u + u ^{0}}{2} \cdot t

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+5x-6 ?
The extreme f(x)=-x^2+5x-6 is Maximum(5/2 , 1/4)