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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

f^{'} (x) = 2 - 10 x

Find intervals:

Increasing

: - \infty < x < \frac{1}{5},

Decreasing

: \frac{1}{5} < x < \infty

Plug

x = \frac{1}{5}

into

2 x - 5 x^{2} : \frac{1}{5}

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

Popular Examples

extreme 2x^2-4x+1 extreme points

2 x^{2} - 4 x + 1

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f (x) = y^{2} + y^{2} \cdot x + 3 x - 8

extreme xe^{(-x^2)/(162)},-4<= x<= 18 extreme points

x e^{\frac{- x ^{2}}{162}}, - 4 \leq x \leq 18

extreme f(x)=2x^3-9x^2-24x+6,-2<= x<= 5 extreme points

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 6, - 2 \leq x \leq 5

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

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

Frequently Asked Questions (FAQ)

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