Question

Given f(x)= a×e−bx , where a = 1 and b = 6,

Answer 1

Answer:

g(1) = -0.015                

Step-by-step explanation:

We are given he following in the question:

$f(x) = ae^{-bx}$

For  a = 1 and b = 6, we have,

$f(x) = e^{-6x}$

We have to find the the derivative of f(x) with respect to x.

$g(x) = \dfrac{d(f(x))}{dx} = \dfrac{d(e^{-6x})}{dx}\\\\g(x) = -6e^{-6x}\\\\g(1) = \dfrac{d(f(x))}{dx}\bigg|_{x=1} = -6e^{-6} = -0.015$

Thus, g(1) = -0.015