Find the derivative of f(x) = 5 divided by x at x = -1. (1 point)

Mathematics

1 answer:

marin [14]3 years ago

5 0

Answer:

-5

Step-by-step explanation:

The power rule can be used.

f(x) = 5x^-1

f'(x) = 5(-1)x^(-1-1)

f'(x) = -5x^-2

Then ...

f'(-1) = -5(-1)^-2

f'(-1) = -5

_____

The attached graph shows the value of the derivative at x=-1, along with a tangent line having that slope at the point (-1, f(-1)).

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