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Popular >

extreme f(x)=-2x^2+4x+6

Solution

extreme points

f (x) = - 2 x^{2} + 4 x + 6

Solution

Maximum (1, 8)

Solution steps

f^{'} (x) = - 4 x + 4

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- 2 x^{2} + 4 x + 6 : 8

Maximum (1, 8)

Popular Examples

extreme f(x)=12x^2-88x+121 extreme points

f (x) = 12 x^{2} - 88 x + 121

extreme f(x)=9x^3-7x^2+3x+10,-5<= x<= 6 extreme points

f (x) = 9 x^{3} - 7 x^{2} + 3 x + 10, - 5 \leq x \leq 6

extreme f(x,y)=sqrt(400-49x^2-9y^2)extreme points

f (x, y) = 400 - 49 x^{2} - 9 y^{2}

extreme f(x)=2x^3+24x^2+72x+7 extreme points

f (x) = 2 x^{3} + 24 x^{2} + 72 x + 7

extreme f(x,y)=sqrt(400-64x^2-36y^2)extreme points

f (x, y) = 400 - 64 x^{2} - 36 y^{2}

Frequently Asked Questions (FAQ)

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