Question

The instantaneous rate of change at t = 1 for the function f (t) = te^-t + 9 is ____________.

Options

• 0

• 2

• 9

• -1

Answer 1

The instantaneous rate of change at t = 1 for the function f (t) = te^-t + 9 is 0.

Explanation:

`"f'" ("t") = "te"^-"t" (-1) + "e"^-"t" => "f'" (1) = -"e"^-1 + "e"^-1 = 0`