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Slopes of Inverse Functions

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

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Slopes of Inverse Functions

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  1. Slopes of Inverse Functions

  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. Derivative Formula for Inverses:

  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 AP Prep book:Pg 37,60,61

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