2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; - 3 3

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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2. Test continuity at x = 0 and x = 3 for the function
(3 + 2x; – 3 < x < 0
f(x) = } 3– 2x; 0<x<3
-3 – 2x;
x 2 3
3. Differentiate with respect to x of the following functions:
(i) (x² + 1) tan¬1x – x
(ii) x³ loga x + e* cos x
(iii) e2In cos 2x iv)
d
102 In cos 2x
dx
Transcribed Image Text:2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; – 3 < x < 0 f(x) = } 3– 2x; 0<x<3 -3 – 2x; x 2 3 3. Differentiate with respect to x of the following functions: (i) (x² + 1) tan¬1x – x (ii) x³ loga x + e* cos x (iii) e2In cos 2x iv) d 102 In cos 2x dx
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