Question

If f(y) = 8 + e-9y, find f'(y). Use exact values.

Answer 1

`f'(y) = -9e^(-9y)`

Explanation:

The given function is :

`f(y) = 8 + e^(-9y)`

We need to find the value of f'(y).

`f'(y)=(d)/(dy)[8+e^(-9y)]`

`=(d)/(dy)(8)+(d)/(dy)(e^(-9y))\\\\=0+e^(-9y)(d)/(dy)(-9y)\\\\=-9e^(-9y)`

So, the value of f'(y) is equal to
`-9e^(-9y)`.