3) (a) Let f(x) = -x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other method will be accepted, regardless of whether you obtain the correct derivative.) (b) Find the tangent line to the graph of f(x) = -x²-x at x = 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please solve both A and B according to given instructions Please solve in 20 minutes and get the thumbs up
Equation 3.4
m tan
lim _f(a+h)-f(a)
h40
h
Transcribed Image Text:Equation 3.4 m tan lim _f(a+h)-f(a) h40 h
3) (a) Let f(x) = -x²-x. Use definition of the derivative Equation 3.4 to
compute f'(x). (No other method will be accepted, regardless of whether you obtain the
correct derivative.)
(b) Find the tangent line to the graph of f(x) = -x²-x at x = 1.
Transcribed Image Text:3) (a) Let f(x) = -x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other method will be accepted, regardless of whether you obtain the correct derivative.) (b) Find the tangent line to the graph of f(x) = -x²-x at x = 1.
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