What is the extreme y=-5x-e^{-5x} ?

The extreme y=-5x-e^{-5x} is Maximum(0,-1)

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extreme y=-5x-e^{-5x}

extreme points

y = - 5 x - e^{- 5 x}

Maximum (0, - 1)

Solution steps

Find the critical points:

x = 0

Domain of

- 5 x - e^{- 5 x} : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug the extreme point

x = 0

into

- 5 x - e^{- 5 x} \Rightarrow y = - 1

Maximum (0, - 1)

f (x) = - 4 x - 5

\frac{x ^{2} - 9 x}{x ^{2} - 81}

(- 1, 7), (3, - 2)

f (x) = \frac{3 x + 9}{x}

sin (2 x - π)