1. Cousider the funetion f(r) a- 1. (n) Find /'(r) using the limit definition of the derivative.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Derivatives 

1. Consider the function f(r) = a - 1.
(n) Fitnd f'(r) using the limit definition of the derivative.
(b) Using your answer in (a), determine the slope of the tangent line to the graph y- (a)
at z- 2.
Transcribed Image Text:1. Consider the function f(r) = a - 1. (n) Fitnd f'(r) using the limit definition of the derivative. (b) Using your answer in (a), determine the slope of the tangent line to the graph y- (a) at z- 2.
2. Consider the function f(r) = 2 +V3r +1. The derivative may be caleulated as follows:
%3!
2D, ] + D.[rV3r + 1]
= de + 2/3r +I+*D,v3+1
- de" + 2r/3r-I+r D.3r + 1
- de + 2rar -I+ a
At each of the above steps, state all the derivative rule(s) used. Your options are:
(a) Derivative of a constant function
(b) Constant times a function property
(e) Sum property
(d) Difference property
(e) Power rule
(f) Product rule
(g) Quotient rule
(h) Chain rule
Transcribed Image Text:2. Consider the function f(r) = 2 +V3r +1. The derivative may be caleulated as follows: %3! 2D, ] + D.[rV3r + 1] = de + 2/3r +I+*D,v3+1 - de" + 2r/3r-I+r D.3r + 1 - de + 2rar -I+ a At each of the above steps, state all the derivative rule(s) used. Your options are: (a) Derivative of a constant function (b) Constant times a function property (e) Sum property (d) Difference property (e) Power rule (f) Product rule (g) Quotient rule (h) Chain rule
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