Given f(z) = 2x? - 2z + 3, we wish to compute f'(1) using the definition f(a + h) – f(a) f'(a) = „lim h0 h Notice this is an indeterminate of the form (a) Simplify 1+ h) - f(1) h FORMATTING: The answer must be a polynomial in h in its simplest form. f(1+h) – f(1) (b) Compute f'(1) = lim h-0 h AT

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 8E
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Given f(x) = 2x2 – 2x + 3, we wish to compute f'(1) using the definition
f(a + h) – f(a)
h
f' (a) = lim
Notice this is an indeterminate of the form
f(1+ h) – f(1)
(a) Simplify
h
FORMATTING: The answer must be a polynomial in h in its simplest form.
f(1+ h) - f(1)
(b) Compute f'(1) = lim
h
olo
Transcribed Image Text:Given f(x) = 2x2 – 2x + 3, we wish to compute f'(1) using the definition f(a + h) – f(a) h f' (a) = lim Notice this is an indeterminate of the form f(1+ h) – f(1) (a) Simplify h FORMATTING: The answer must be a polynomial in h in its simplest form. f(1+ h) - f(1) (b) Compute f'(1) = lim h olo
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