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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 2)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, 2)

Graph

Popular Examples

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y = 4 x + 3

extreme 2x^2 extreme points

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f (x) = \frac{8}{13} sec (- \frac{4}{5} x)

domain of-sqrt(-x+2)domain

- - x + 2

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^{4x}+e^{-4x} ?
The extreme f(x)=e^{4x}+e^{-4x} is Minimum(0,2)