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Popular >

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

Solution

extreme points

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

Solution

Maximum (2, 9)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- x^{2} + 4 x + 5 : 9

Maximum (2, 9)

Popular Examples

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f (x, y) = \frac{( 2 x + y )}{3}

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

extreme f(x)=x^2+xy+1/2 y^2-4x+y extreme points

f (x) = x^{2} + x y + \frac{1}{2} y^{2} - 4 x + y

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f (x) = \frac{1}{3} x^{3} - 2 x^{2} - 5 x + 2

extreme xye^{x+2y}extreme points

x y e^{x + 2 y}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+4x+5 ?
The extreme f(x)=-x^2+4x+5 is Maximum(2,9)