SOLUTION: Differentiate the following with respect to x . a) ln(5x+1) b) ln(4x-3)^2 c) ln(8-x^3) d) xln(5-2x) e) ln[(x+1)(x-3)] f) lm(sinx + cosx) g) ln(1+e^x) h) lnx/x i) ln(√ x^

Algebra.Com
Question 1194173: Differentiate the following with respect to x .
a) ln(5x+1)
b) ln(4x-3)^2
c) ln(8-x^3)
d) xln(5-2x)
e) ln[(x+1)(x-3)]
f) lm(sinx + cosx)
g) ln(1+e^x)
h) lnx/x
i) ln(√ x^2+1-x)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Differentiate the following with respect to x .
a) ln(5x+1)
----
---> (1/(5x+1)*5 = 5/(5x+1)
================================
b) ln(4x-3)^2
c) ln(8-x^3)
d) xln(5-2x)
e) ln[(x+1)(x-3)]
f) lm(sinx + cosx)
g) ln(1+e^x)
h) lnx/x
i) ln(√ x^2+1-x)
It's not clear what terms are under the radical.
========================
Make an effort, show your work, then we will solve the nine (9) problems.

RELATED QUESTIONS

Solve for x: e^2x + 4e^-2x = 4. X= a. (1/2) ln 2 b. (1/3) ln 2 c. (1/3) ln 3 d.... (answered by stanbon,venugopalramana)
Morning, Please could somebody possible help with this Right its been a while since (answered by Fombitz)
Evening All, Right its been a while since i have attempted maths, and have just gone... (answered by Alan3354)
Evening All, Right its been a while since i have attempted maths, and have just gone back (answered by user_dude2008,Fombitz)
Let ln (a)=2, ln (b)=3, ln (c)=5. Solve: f (x)=(ln (c^2))(ln... (answered by MathLover1,MathTherapy)
ln(x+2)=ln(2x-1)+3 (answered by sdmmadam@yahoo.com,longjonsilver)
I need help with this problem: ln(x+3)=-ln(x-1)=ln8 This is my work:... (answered by Alan3354)
Write as a single logarithm and check with a calculator a) ln 5 + ln 3 b) ln 2+ ln 10... (answered by jim_thompson5910,stanbon)
Solve: log base 4 (X) + Log base 8 (x) = 1 ln X/ln 4 + ln X/ln 8=1 2 ln X/2 ln 4 + ln... (answered by Fombitz)