Download Difference Quotient Worksheet - Precalculus | MATH 1330 and more Assignments Pre-Calculus in PDF only on Docsity!
Difference Quotient Worksheet
- Find the DQ 2 f (x) x 4x 3 Step 1: calculate f (x^ ^ h) with excellent algebra Step 2: subtract f(x) from the answer to Step 1 Step 3: divide the answer to Step 2 by h 2 2 2 2 f (x h) (x h) 4(x h) 3 x 2xh h 4x 4h 3 f (x) x 4x 3
Be sure to stack the f(x) correctly under the like terms when you write it out by hand. The answer to Step 2 is (^) 2xh h 2 4h When you divide by h, you get 2x + h 4 Now you do: f (x) x 2 5x 1 DQ continued
- Find the DQ for
f (x) x
Step 1:
f (x h) x h
Step 2:
f (x h) f (x) x h x
now you need a common denominator to subtract these fractions: x ( x + h) is it multiply the first fraction numerator and denominator by x, multiply the second fraction numerator and denominator by x + h 5x 5(x h) 5x 5x 5h 5h x(x h) x(x h) x(x h) x(x h)
Step 3: remember that “divide by h” is the same as “multiply by the reciprocal, 1/h” 1 5h 5 h x(x h) x h
Now you do it for
f (x) x
