Simple algebraic simplification problem after a u-substitution derivation

The attached file contains a function that needs to have the first order derivative taken. I took the derivative, but I am making a mistake in the algebra simplification of the result. Would you please take a look.

Simple Interest

To buy a new plasma TV that costs $3,000, you pay $600 down and finance the remaining $2,400 for 12 months. Find the interest rate the store charges you if your monthly payment is $207.86?

College Algebra

Can you please help me with the following circled problems? listed below. Page 187 1. a) 12, b) 14, c) 16, d) 18 (Check for all four of our symmetries SY, SX, SO, SI; consult in WEEK7 NOTES, in COURSE CONTENT. Practice graphing these using the downloaded graphing utility GraphCalc.) 2. a) 20, b) 24 3. 28 4. 32 P. 203 ...continues

College Algebra

Can you please assist me with the problems listed below?? P. 237 1. a) #6, b) #18 2. a) #22, b) #24 3. a) #32, b) #46 P.253 4. a) #1, b) #2, c) #3. d_ #4 5. a) #10, b) #12 6. a) # 28, b) #30 7. P.260, Matched Problem 1 P.271 8. # 2 - 22 (Even #s) 9 a) # 24, b) #36 10. a) #50, b) #78

simplifying rational expressions

x^3-27 OVER 4x^2 - 12x

solve the rational equation

-3 OVER 4x+5 = 2 OVER 5x-7

solve the following equation

2x OVER x+4 = 3 OVER x-1

solve the rational eguation

3/4x + 5/6 = 4/3x this problem is in fractions i am not sure if i am writing it right. it is three over four x plus five over six = four over three x

Perform the indicated operation Express final answer in reduced form

5/a^2-9a+8 - 3/a^2-6a-16 I am not sure if I am writing this right. This problem is in fraction form. 5 over a squared minus nine a plus eight. MINUS three OVER a squared ninus six a ninus sixteen.

Perform the indicated operations

3x/x^2-4 + 4/x^3+8 I believe I need to factor this but I am not sure....