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Popular >

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)

Popular Examples

simplify (1.1)(5.5)simplify

(1.1) (5.5)

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

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

line (4,1),(12,6)line

(4, 1), (12, 6)

slope ofintercept 15x-16y=-16 slope intercept

15 x - 16 y = - 16

extreme y=x^2+x-6 extreme points

y = x^{2} + x - 6

Frequently Asked Questions (FAQ)

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