Question

What is the instantaneous rate of change of `f(x)=x-e^(5x-7)` at `x=0`?

Answer 1

`0.99544`

Explanation:

This is equivalent to asking us to find the value of the derivative of the function at `x=0`.

`therefore f'(x)=1-5e^(5x-7)`

`therefore f'(0)=1-5e^(-7)`

`=0.99544`