# Search results

1. ### Simplification of Product Rule: dy/dx = x^2 [6(2x + 1)^2] + (2x + 1)^3 (2x)

Hi all, I'm learning the rules of differentiation, specifically the product rule. I understand the steps to obtain an answer, but am stuck when it comes to simplifying and taking out a common factor. For example, the answer to one of the problems is: dy/dx = x2[6(2x + 1)2] + (2x + 1)3(2x) I...
2. ### Algebraic fractions: Question e: 5/[x (x + 1)] - 2/x + 3/(x + 1)

Question: . . . . .\mbox{(e) }\, \dfrac{5}{x\, (x\, +\, 1)}\, -\, \dfrac{2}{x}\, +\, \dfrac{3}{x\, +\, 1} I'm getting myself confused with this one. 1) I multiplied all the denominators, so they all became x(x+1)x(x+1). 2) Then 5x(x+1) - 2x(x+1)(x+1) + 3x(x+1)x 3) Becomes, 5x2 + 5x - 2x3 -...
3. ### Investment+Revenue to NPV question using a discount rate of 4%, compounded annually

Q. During the next 3 years, a business decides to invest £10,000, at the beginning of each year. The revenue at the end of each year is: Year 1 = £5,000 Year 2 = £20,000 Year 3 = £50,000 Calculate the NPV using a discount rate of 4%, compounded annually. A. My answer was £39,997.85...