Question

Find the exact location of all the relative and absolute extrema of the function

f(x) = 13xe^ 1-x(squared)

Answer 1

\[13xe ^{1-x^2}\]

Answer 2

Take the derivative. Then set it equal to 0

Answer 3

i dont know how to take the deriviatve of that equation

Answer 4

Also, make sure you include the domain points.

Answer 5

i need help finding the derivative of this equation though

Answer 6

The derivative would be -13e^(1-x^2)(2x^2-1)

Answer 7

Btw, the max is at 1/sqrt2, and the min is at -1/sqrt2

Answer 8

That would be the x value.

Answer 9

so, max: