Question

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

Answer 1

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

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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)).