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Popular >

extreme f(x)=7(x-e^x)

Solution

extreme points

f (x) = 7 (x - e^{x})

Solution

Maximum (0, - 7)

Solution steps

f^{'} (x) = 7 (1 - e^{x})

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

7 (x - e^{x}) : - 7

Maximum (0, - 7)

Popular Examples

extreme f(x)=7x^2-11x+5 extreme points

f (x) = 7 x^{2} - 11 x + 5

extreme f(x)=sqrt(26x^2+80x+64)extreme points

f (x) = 26 x^{2} + 80 x + 64

extreme f(x,y)=x^3-y^2-12x+4y+2 extreme points

f (x, y) = x^{3} - y^{2} - 12 x + 4 y + 2

extreme 2x-(360)/(x^2)extreme points

2 x - \frac{360}{x ^{2}}

extreme f(x)=(3x-3)^2,-infinity <x<= 2 extreme points

f (x) = (3 x - 3)^{2}, - \infty < x \leq 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=7(x-e^x) ?
The extreme f(x)=7(x-e^x) is Maximum(0,-7)