1. f(x) = x

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
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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A. Use the definition of derivatives to determine the derivatives of the
following functions.
1. f(x) = x
2. f(x) = -4x3 – 2
3. f(x) = 1/x
4. f(x) = 1/ (x+1)
5. f(x) = (x+1)/ (x-1)
B. Determine the slope of the tangent line at a given value of x.
6. f(x) = x
7. f(x) = -4x3 – 2.
8. f(x) = 1/x
9. f(x) = 1/ (x+1).
10.f(x) = (x+1)/ (x-1) , x = 5
,x= 1
%3D
,x=2
, X=-1
%3D
x= 3
Transcribed Image Text:A. Use the definition of derivatives to determine the derivatives of the following functions. 1. f(x) = x 2. f(x) = -4x3 – 2 3. f(x) = 1/x 4. f(x) = 1/ (x+1) 5. f(x) = (x+1)/ (x-1) B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8. f(x) = 1/x 9. f(x) = 1/ (x+1). 10.f(x) = (x+1)/ (x-1) , x = 5 ,x= 1 %3D ,x=2 , X=-1 %3D x= 3
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