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Find the derivative of f(x) = negative 9 divided by x at x = -4. (6 points) 4 divided by 9 16 divided by 9 9 divided by 16 9 divided by 4

User JohnDel
by
7.9k points

2 Answers

6 votes

Answer:

9/16

Explanation:

User Alexkv
by
8.8k points
3 votes

Answer:

9/16

Explanation:


f(x)=-(9)/(x)


f(x)=-9x^(-1)

Derivative rule:


f(x)=x^(n) \\


(df)/(dx)=nx^(n-1)

Here, n=-1, so


(df)/(dx)=(-9)(-1)x^(-2) =(9)/(x^(2) )

Evaluating this at x=-4 gives 9/16

User Ketan Akbari
by
8.2k points

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