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

1 Answer

4 votes

Answer:


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).

User Sameer Segal
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