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Derivatives

Derivatives

Example 1

If f(x) = x + 3, find f'(1).

Example 2

Translate each phrase into Leibniz Notation.

  • the instantaneous rate of change of z with respect to x when x = 5
  • the instantaneous rate of change of x with respect to z when x = 5
  • the instantaneous rate of change of x with respect to z when z = 5

Example 3

Translate the Leibniz notation into words.

Example 4

If x is measured in hours, y is measured in wombats, and z is measured in mice, determine the units of the quantity .

Example 5

If x is measured in hours, y is measured in wombats, and z is measured in mice, determine the units of the quantity: .

Example 6

If x is measured in hours, y is measured in wombats, and z is measured in mice, determine the units of the quantity: .

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