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Popular >

extreme f(x)=x-e^x

Solution

extreme points

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

Solution

Maximum (0, - 1)

Solution steps

f^{'} (x) = 1 - e^{x}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

x - e^{x} : - 1

Maximum (0, - 1)

Popular Examples

domain of f(x)=7x^3-14x^2 domain

f (x) = 7 x^{3} - 14 x^{2}

inverse of f(x)=((2x+2))/((4x+3))inverse

f (x) = \frac{( 2 x + 2 )}{( 4 x + 3 )}

inverse of f(x)=1-4x inverse

f (x) = 1 - 4 x

inverse of f(x)= 2/3 x^3 inverse

f (x) = \frac{2}{3} x^{3}

intercepts of f(x)=-8x^2-9x^4-5+7x^3+3x intercepts

f (x) = - 8 x^{2} - 9 x^{4} - 5 + 7 x^{3} + 3 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x-e^x ?
The extreme f(x)=x-e^x is Maximum(0,-1)