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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 6YT
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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
Step 1

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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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