# Math Help - Differentiation question

1. ## Differentiation question

Hi folks, I need help to solve this question in my study paper. Hope to hear from you all soon!

A company’s output rate Q at time t is given by a function which changes at t= 10 as follows:

Find the rate of change of output rate Q with respect to t when (i) t = 5, and (ii) t = 15.

2. ## Re: Differentiation question

$y = A(1 - e^{kt})$

$\frac{dy}{dt} = A(-ke^{kt})$