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Karo-lina-s [1.5K]
3 years ago
5

PLEASE HELP! Explain how you solved!

Mathematics
1 answer:
inysia [295]3 years ago
7 0
So the first line is showing a steady speed which is going away.
The straight line is showing that it's stationary (not moving)
And the last line is showing that its returning to the start
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Find the value of x at which the function has a possible relative maximum or minimum point.​ (Recall that e Superscript x is pos
shutvik [7]

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Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

f'(x)=  -e^{-4x}(11+4x)

And then we get that   if   11+4x = 0   then   x = -11/4 . So it has a critical point at   x = -11/4.

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

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x= -11/4 is a maximum.

6 0
3 years ago
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