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Popular Functions >

extreme f(x)=e^t-t

Solution

extreme points

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

Solution

Minimum (0, 1)

Solution steps

f^{'} (t) = e^{t} - 1

Find intervals:

Decreasing

: - \infty < t < 0,

Increasing

: 0 < t < \infty

Plug

t = 0

into

e^{t} - t : 1

Minimum (0, 1)

Graph

Popular Examples

critical f(x)=2x^3-15x^2+36x+1

cr i t i c a l f (x) = 2 x^{3} - 15 x^{2} + 36 x + 1

slope ofintercept 15x-16y=-16

s l o p e in t erce pt 15 x - 16 y = - 16

inverse of f(x)= 2/(-x+1)-2

in v erse f (x) = \frac{2}{- x + 1} - 2

asymptotes of (x^2-2x-8)/(x^2-7x+12)

a sy m pt o t es \frac{x ^{2} - 2 x - 8}{x ^{2} - 7 x + 12}

perpendicular-2x

p er p e n d i c u l a r - 2 x

Frequently Asked Questions (FAQ)

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