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3lim %3D f(x+h)-f(x) to find f'(x) for f(x) = -4x2+2x+3. = (),f

3lim %3D f(x+h)-f(x) to find f'(x) for f(x) = -4x2+2x+3. = (),f

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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2. Use f'(x) = lim Tele f(x+h)-f(x) to find f'(x) for f(x) = -4x2 + 2x + 3. %3D
Transcribed Image Text:2. Use f'(x) = lim Tele f(x+h)-f(x) to find f'(x) for f(x) = -4x2 + 2x + 3. %3D
Expert Solution
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f\left(x\right)=-4x^2+2x+3

substitute x+h for x

f\left(x+h\right)=-4\left(x+h\right)^2+2\left(x+h\right)+3

f\left(x+h\right)= -4\left(x^2+2xh+h^2\right)+2x+2h+3

f\left(x+h\right)= -4x^2-8xh-4h^2+2x+2h+3

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