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Popular >

extreme f(x)=-e^x(x+5)

Solution

extreme points

f (x) = - e^{x} (x + 5)

Solution

Maximum (- 6, \frac{1}{e ^{6}})

Solution steps

f^{'} (x) = - e^{x} x - 6 e^{x}

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < \infty

Plug

x = - 6

into

- e^{x} (x + 5) : \frac{1}{e ^{6}}

Maximum (- 6, \frac{1}{e ^{6}})

Popular Examples

extreme f(x)=-14x^3+42x+42 extreme points

f (x) = - 14 x^{3} + 42 x + 42

extreme f(x)=15x-x^2-54 extreme points

f (x) = 15 x - x^{2} - 54

extreme sqrt(x^2+2x)-x extreme points

x^{2} + 2 x - x

extreme y=4(x-2)(x+1)extreme points

y = 4 (x - 2) (x + 1)

extreme 12+6x^2-x^3 extreme points

12 + 6 x^{2} - x^{3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-e^x(x+5) ?
The extreme f(x)=-e^x(x+5) is Maximum(-6, 1/(e^6))