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

$f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56$

x= -11/4 is a maximum.

6 0

3 years ago

Given: 5x + 3 > 4x + 7.<br> Choose the graph of the solution set.

Mkey [24]

Answer:

The first one

Step-by-step explanation:

We simplify this inequality to x>4. This means it is moving past the four to the right with an open dot

3 0

2 years ago

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