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Slopes of Inverse Functions

Slopes of Inverse Functions. Section 3.8. We can find the inverse function as follows:. The derivative of the inverse function:. Switch x and y . Slopes are reciprocals. Slopes are reciprocals. The derivative of. Derivative Formula for Inverses:. evaluated at. the derivative of.

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Slopes of Inverse Functions

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  1. Slopes of Inverse Functions Section 3.8

  2. We can find the inverse function as follows: The derivative of the inverse function: Switch x and y.

  3. Slopes are reciprocals.

  4. Slopes are reciprocals. The derivative of Derivative Formula for Inverses: evaluated at the derivative of evaluated at . Because x and y are reversed to find the reciprocal function, the following pattern always holds: is equal to the reciprocal of

  5. The short of it: If f(x) contains the point (3,7) and has m=2/3 at that point then contains the point (7,3) and has m=3/2 at that point.

  6. Given: Find: A typical problem using this formula might look like this: This means: (3,5), m=6 This means: Find the slope at 5. f(x) contains the point (3,5) and m=6, so contains the point (5,3) and m=1/6.

  7. Homework Page 162 #2-20 even, 21 Page 155 #10,12,20,26,30

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