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Popular >

extreme f(x)=e^{4x-x^2}

Solution

extreme points

f (x) = e^{4 x - x^{2}}

Solution

Maximum (2, e^{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

e^{4 x - x^{2}} : e^{4}

Maximum (2, e^{4})

Popular Examples

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f (x, y) = x^{2} + 4 y^{2} - 6 x + 8 y + 2

extreme f(x,y)=x^2-y^2+9 extreme points

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(x + 3)^{2} + 1

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extreme f(x)=(7+x)(11-3x)^{1/3}extreme points

f (x) = (7 + x) (11 - 3 x)^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^{4x-x^2} ?
The extreme f(x)=e^{4x-x^2} is Maximum(2,e^4)