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Unit 10: Logarithmic Differentiation

10.6 Review Questions Notes

x 5
1. Differentiate the function y .
(1 10 ) x 2 2
x
x
2. Differentiate y = x .
(ln ) x x
3. Differentiate y .
2 3x 1

x 2x (x 1) 3
4. Differentiate y .
(3 5 ) x 4
5 x
x e (4x 3)
x
5. Consider the function f ( ) ln x 2 . Find an equation of the line tangent to the
5 (3 x )
graph of f at x = 1.
Answers: Self Assessment

1. (a) 2. (a)
3. (d) 4. (a)
5. (b) 6. (a)

7. (a) 8. (b)
9. (a) 10. (a)

10.7 Further Readings

Books Husch, Lawrence S. Visual Calculus, University of Tennessee, 2001.
Smith and Minton, Calculus Early Trancendental, Third Edition, McGraw Hill 2008.

Online links http://www.suitcaseofdreams.net/Trigonometric_Functions.htm
http://library.thinkquest.org/20991/alg2/trigi.html
http://www.intmath.com/trigonometric functions/5 signs of trigonometric
functions.php

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