Difference Quotient Worksheet With Answers

To find the slope of the secant line between two points in a function we use difference quotients. For each of the following functions simplify the expression fxhfx h as far as possible.

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Difference quotients are used with limits in the definition of the derivative and are important to understand but can be difficult to compute and simplify.

Difference quotient worksheet with answers. D fx2x2 x e fx 1 2. In particular you should be able to rewrite each expression without an hin the denominator. Find the dq fx x 4x 3 2 step 1.

Some of the worksheets displayed are the difference quotient practice problems on the difference quotient more practice with the difference quotient 03 math 11011 evaluating difference quotients ksu denition grade 5 mathematics standards based skills work derivatives numerical expressions work. A fx2x5 b fx3x c fxx2. The difference quotient example 1 this video gives the formula for the difference quotient aka the subtraction fraction and does a couple examples of finding it for different functions.

Calculate fx h with excellent algebra step 2. Once you find your. Different quotient and similar practice problems.

Odd numbered answers on back. Difference quotient worksheet 1. Divide the answer to step 2 by h 2 2 2 2 fx h x h 4x h 3 x 2xh h 4x 4h 3 fx x 4x 3.

We can simplify difference quotients into a formula for finding the slope of a secant line. Diﬁerence quotient practice page 1 this worksheet is homework to be included in your homework notebook. Subtract fx from the answer to step 1 step 3.

How To Solve The Difference Quotient Video Lesson Transcript