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5 Pages

### Section 3_7

Course: MA 141, Spring 2009
School: N.C. State
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Word Count: 553

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3.7 http://www.webassign.net/v4cgijrmace2@ncsu/student.pl?g=200811... WebAssign Section Section 3.7 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle Thompson Current Score: 17 out of 18 Due: Saturday, October 4, 2008 10:09 PM EDT Description Derivatives of Logarithmic Functions The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1....

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3.7 http://www.webassign.net/v4cgijrmace2@ncsu/student.pl?g=200811... WebAssign Section Section 3.7 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle Thompson Current Score: 17 out of 18 Due: Saturday, October 4, 2008 10:09 PM EDT Description Derivatives of Logarithmic Functions The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 3.7.02.] 1/1 points Differentiate the function. f(x) = ln(x2 + 4) f '(x) = (2x)/(x^2+4) (2*x)/(x^2+4) 2. [SCalcCC2 3.7.04.] 1/1 points Differentiate the function. f(x) = cos(ln x) f '(x) = (-sin(ln(x))/x) (-sin(ln(x)))/x 3. [SCalcCC2 3.7.06.] 1/1 points Differentiate the function. f '(x) = (1/(2.3026(x/(x-1))))*(-1/(x-1)^2) -1/(x*(x-1)*ln(10)) 1 of 5 PDF created with pdfFactory Pro trial version www.pdffactory.com 11/20/2008 10:18 PM Section 3.7 http://www.webassign.net/v4cgijrmace2@ncsu/student.pl?g=200811... 4. [SCalcCC2 3.7.08.] 1/1 points Differentiate the function. f '(x) = (1/(x^(1/3)))*((1/3)(x)^(-2/3)) 1/(3*x) 5. [SCalcCC2 3.7.10.] 1/1 points Differentiate the function. f '(t) = 2/(t(1-ln(t))^2) 2/(t*(1-ln(t))^2) 6. [SCalcCC2 3.7.12.] 1/1 points Differentiate the function. h '(x) = (1+x(x^2-1)^(-1/2))/(x+sqrt(x^2-1)) 1/sqrt(x^2-1) 7. [SCalcCC2 3.7.14.] 1/1 points Differentiate the function. y = ln(x9sin2x) y '(x) = (9x^8sin(x)^2+2x^9sin(x)cos(x))/(x^9sin(x)^2) (9/x) + 2*cot(x) 8. [SCalcCC2 3.7.16.] 1/1 points Differentiate the function. 2 of 5 PDF created with pdfFactory Pro trial version www.pdffactory.com 11/20/2008 10:18 PM Section 3.7 http://www.webassign.net/v4cgijrmace2@ncsu/student.pl?g=200811... G '(u) = (1/2)(4/(4u+3))-(1/2)(4/(4u-3)) (1/2) * (4/(4*u+3) - 4/(4*u-3)) 9. [SCalcCC2 3.7.18.] 1/1 points Differentiate the function. y = [ln(1 + ex)]2 y '(x) = 2(ln(1+exp(x)))((exp(x))/(1+exp(x))) * 2 (ln(1+exp(x))) * 1/(1+exp(x)) * exp(x) 10. [SCalcCC2 3.7.20.] 2/2 points Find y' and y''. y = ln(sec(x) + tan(x)) y' = sec(x) y'' = tan(x)sec(x) sec(x) sec(x) * tan(x) 11. [SCalcCC2 3.7.28.] 1/1 points Use logarithmic differentiation to find the derivative of the function. y '(x) = (sqrt(x)exp(x^2))(20x(x^2+1)^9)+((x^2+1)^10)(2xexp(x^2)*sqrt(x)+(exp(x^2)/(2sqrt(x)))) sqrt(x) * exp(x^2) * (x^2+1)^10 * (1/(2*x) + 2*x + (20*x)/(x^2+1)) 12. [SCalcCC2 3.7.30.] 1/1 points Use logarithmic differentiation to find the derivative of the function. 3 of 5 PDF created with pdfFactory Pro trial version www.pdffactory.com 11/20/2008 10:18 PM Section 3.7 http://www.webassign.net/v4cgijrmace2@ncsu/student.pl?g=200811... y '(x) = ((x^2+1)/(x^2-1))^(1/4)((1/4)(2x/(x^2+1))-((1/4)(2x/(x^2-1)))) x/(1-x^4) * ((x^2+1)/(x^2-1))^(1/4) 13. [SCalcCC2 3.7.32.] 0/1 points Use logarithmic differentiation to find the derivative of the function. y = x1/x y '(x) = (-x^(-2))(ln(x))+(1/x)(1/x)(x^(1/x)) x^(1/x) * (1-ln(x))/(x^2) 14. [SCalcCC2 3.7.34.] 1/1 points Use logarithmic differentiation to find the derivative of the function. y = (sin x)x y '(x) = (sin(x)^x)(xcot(x)+ln(sin(x))) (sin(x))^x * (x * cot(x) + ln(sin(x))) 15. [SCalcCC2 3.7.36.] 1/1 points Use logarithmic differentiation to find the derivative of the function. y = xln x y '(x) = (x^(ln(x)))((2ln(x))/x) x^(ln(x)) * (2*ln(x))/x 16. [SCalcCC2 3.7.38.] 1/1 points Find y' if xy = yx. y' = ((ln(y))-(y/x))/(ln(x)-(x/y)) (ln(y)-(y/x))/(ln(x)-(x/y)) 17. [SCalcCC2 3.7.40.] 1/1 points Find the following. 4 of 5 PDF created with pdfFactory Pro trial version www.pdffactory.com 11/20/2008 10:18 PM Section 3.7 http://www.webassign.net/v4cgijrmace2@ncsu/student.pl?g=200811... 40320/x (8*7*6*5*4*3*2*1)/x 5 of 5 PDF created with pdfFactory Pro trial version www.pdffactory.com 11/20/2008 10:18 PM
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N.C. State - MA - 141
Section 4.1http:/www.webassign.net/v4cgijrmace2@ncsu/student.pl?j=200811.WebAssign Section 4.1 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle ThompsonCurrent Score: 10 out of 10 Due: Thursday, October 30, 2008 10:0
N.C. State - MA - 141
Section 4.2http:/www.webassign.net/v4cgijrmace2@ncsu/student.pl?a=200811.WebAssign Section 4.2 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle ThompsonCurrent Score: 17 out of 17 Due: Thursday, October 30, 2008 10:0
N.C. State - MA - 141
Section 4.3http:/www.webassign.net/v4cgijrmace2@ncsu/student.pl?e=200811.WebAssign Section 4.3 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle ThompsonCurrent Score: 17.5 out of 17.5 Due: Thursday, October 30, 2008
N.C. State - MA - 141
Section 4.5http:/www.webassign.net/v4cgijrmace2@ncsu/student.pl?q=20081.WebAssign Section 4.5 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle ThompsonCurrent Score: 16 out of 16 Due: Thursday, October 30, 2008 10:03
N.C. State - MA - 141
Section 4.6http:/www.webassign.net/v4cgijrmace2@ncsu/student.pl?h=200811.WebAssign Section 4.6 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle ThompsonCurrent Score: 22 out of 22 Due: Thursday, October 30, 2008 10:0
N.C. State - MA - 141
Section 4.8http:/www.webassign.net/v4cgijrmace2@ncsu/student.pl?f=200811.WebAssign Section 4.8 (Homework) MACE JOHN RANDALL MA 141, section 007, Fall 2008 Instructor: Kyle ThompsonCurrent Score: 9 out of 9 Due: Thursday, October 30, 2008 10:05
N.C. State - MA - 141
Section 4.9http:/www.webassign.net/v4cgikjkersha@ncsu/student.pl?n=2008.WebAssign Section 4.9 (Homework) KERSHAW KYLE J MA 141, section 009, Fall 2008 Instructor: Morgan RootCurrent Score: 20 out of 20 Due: Wednesday, November 12, 2008 10:00 PM
N.C. State - MA - 141
Section 5.1 (Review)Page 1 of 3 Logged in as werhem@ncsu.Logout GuideWebAssign.netWednesday, August 9, 2006 04:08 PM EDT Home| Help | My Options RHEM WARREN EDWARD II MA 241, section 003, Summer Home &gt; My Assignments &gt; Section 5.1 (Review) 2
N.C. State - MA - 141
Section 5.2 (Review)Page 1 of 2 Logged in as werhem@ncsu.LogoutWebAssign.netWednesday, August 9, 2006 04:10 PM EDT Home| My Assignments | Grades | Communication | CalendarHome &gt; My Assignments &gt; Section 5.2 (Review) (Homework)About this As
N.C. State - MA - 141
Section 5.3 (Review)Page 1 of 2 Logged in as werhem@ncsu.Logout GuideWebAssign.netWednesday, August 9, 2006 04:12 PM EDT Home| Help | My Options RHEM WARREN EDWARD II MA 241, section 003, Summer Home &gt; My Assignments &gt; Section 5.3 (Review) 2
N.C. State - MA - 141
Section 5.4 (Review)Page 1 of 3 Logged in as werhem@ncsu.Logout GuideWebAssign.netWednesday, August 9, 2006 04:13 PM EDT Home| Help | My Options RHEM WARREN EDWARD II MA 241, section 003, Summer Home &gt; My Assignments &gt; Section 5.4 (Review) 2
N.C. State - MA - 141
Section 5.5Page 1 of 4 Logged in as werhem@ncsu.LogoutWebAssign.netWednesday, August 9, 2006 04:13 PM EDT Home| My Assignments | Grades | Communication | CalendarHome &gt; My Assignments &gt; Section 5.5(Homework)About this Assignment| Help |
N.C. State - MA - 141
Section 5.6Page 1 of 4 Logged in as werhem@ncsu.LogoutWebAssign.netWednesday, August 9, 2006 04:14 PM EDT Home| My Assignments | Grades | Communication | CalendarHome &gt; My Assignments &gt; Section 5.6(Homework)About this Assignment| Help |
N.C. State - MA - 141
Section 5.7Page 1 of 3 Logged in as werhem@ncsu.LogoutWebAssign.netWednesday, August 9, 2006 04:15 PM EDT Home| My Assignments | Grades | Communication | CalendarHome &gt; My Assignments &gt; Section 5.7(Homework)About this Assignment| Help |
N.C. State - MA - 141
Section 5.8Page 1 of 2 Logged in as werhem@ncsu.LogoutWebAssign.netWednesday, August 9, 2006 04:16 PM EDT Home| My Assignments | Grades | Communication | CalendarHome &gt; My Assignments &gt; Section 5.8(Homework)About this Assignment| Help |
N.C. State - MA - 141
Section 5.9Page 1 of 4 Logged in as werhem@ncsu.LogoutWebAssign.netWednesday, August 9, 2006 04:16 PM EDT Home| My Assignments | Grades | Communication | CalendarHome &gt; My Assignments &gt; Section 5.9(Homework)About this Assignment| Help |
N.C. State - CH - 101
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