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Popular Functions >

extreme 7te^{-t/(15)}

Solution

extreme

Solution

Maximum (15, \frac{105}{e})

Solution steps

f^{'} (t) = 7 (e^{- \frac{t}{15}} - \frac{e ^{- \frac{t}{15}} t}{15})

Find intervals:

Increasing

: - \infty < t < 15,

Decreasing

: 15 < t < \infty

Plug

t = 15

into

7 t e^{- \frac{t}{15}} : \frac{105}{e}

Maximum (15, \frac{105}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 7te^{-t/(15)} ?
The extreme 7te^{-t/(15)} is Maximum(15,(105)/e)