Calculus
posted by Mike .
Find dy/dx and express the final answer with a common denominator
y=ln x^(2(4x12))

Calculus 
Reiny
y=ln x^(2(4x12))
y=ln x^(8x24)
recall rules of logs, ln a^b = (b)(lna)
y = (8x24)ln(x)
dy/dx = (8x24)(1/x) + 8( ln(x) )
= 8  24/x + 8lnx
= (8x  24 + 8x(lnx) )/x
Respond to this Question
Similar Questions

Algebra
Please check for me. 7p  7/p divided by 10p10/5p^2 = 7p^2 6x  6/x * 6x^2/8x8 = 9x/2 I'm not sure how to answer this one. x/2 divided by 9/x + 5 I think it's x(x + 5) / 18 Without grouping symbols () it is impossible to understand … 
Please Help Me Math
Find the sum and express in simplest form. Show all work: x^2 2x15  * x^29 x^29 *I don't get this at alll.Plz help me. I assume you are trying to add, since the problem says "find the sum" and express in simplest form. … 
Math
How do you add this? 5/6 + 1/2 5/6 + 1/2= 8/6 I know to find the lowest common denominator,which is 6, but the numerator is larger than the denominator which is 8/6. How do I solve? 
math,correction please..
(x)/(x2)  (x+1)/(x) = (8)/(x^22x) I keep getting x = 6 can someone show me how you guys are getting x = 10 The lowest commond denominator is x(x2) x/x *(x)/(x2)  (x+1)/(x) *(x2)/(x2)=(8)/x(x2) multiplying both sides by the … 
algebra
Solve for x x/6x/8 equals 1 Do fraction busters Find the least common denominator, which is 24. Change the fractions to where they have the same denominator. Change 1 to equal 24/24, and solve. Did this help? 
math
subtract: express your answer in simplest form. 5x3/6  (x+3)/6 answer choices a) 4x1 b) 2x3/3 c) 2x/3 1 d) 2x/3 show me hou to arrive at the correct answer get a common denominator. get a common denominator. I thought 6 was the … 
Math
26 x 1/5 divided by 1/2 x 5. evaluate. I don't know if i'm supposed to find a common denominator and if i should use 10 as the common denominator. 
java
Write a program that will find the lowest common denominator of two numbers. The user will enter the two denominators, the program will output both the lowest common denominator and the multipliers required for each fraction. For example, … 
math very urgent
First, do you get the same sum when you use 18 rather than 9 as a common denominator for 2/3 and 4/9? 
Calculus
Find dy/dx and express the final answer with a common denominator y=lnx^2(4x12)