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Popular >

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

Solution

extreme points

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

Solution

Maximum (3, 21)

Solution steps

f^{'} (x) = - 4 x + 12

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

- 2 x^{2} + 12 x + 3 : 21

Maximum (3, 21)

Popular Examples

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

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f (x, y) = 2 x^{2} + 3 y^{2} + 2 x y + 10 x - 20 y

extreme f(x,y)=48xy-32x^3-24y^2 extreme points

f (x, y) = 48 x y - 32 x^{3} - 24 y^{2}

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f (x, y) = x^{2} + x y + y^{2} - 34 y + 385

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2+12x+3 ?
The extreme f(x)=-2x^2+12x+3 is Maximum(3,21)