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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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![Let f (x) = 3x² – 5x + 1
(:
(a) Find f'(x) using the limit definition of derivative. That is, f'(x) = lim
f(x+h)-f(x)
h
(6) )-0
(b) Find an equation of the tangent line to y=f(x) at x=2
If you can't solve part (a), use the differentiation rules from sections 2.3, 2.4, and 2.5 to find f'(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61dec6a4-dd58-413c-ac38-185006e7681f%2F7a46490e-7462-4f5d-ad25-7950adff7be0%2Fhq4lxw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f (x) = 3x² – 5x + 1
(:
(a) Find f'(x) using the limit definition of derivative. That is, f'(x) = lim
f(x+h)-f(x)
h
(6) )-0
(b) Find an equation of the tangent line to y=f(x) at x=2
If you can't solve part (a), use the differentiation rules from sections 2.3, 2.4, and 2.5 to find f'(x).
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9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,