3.1-3.3

The product rule for derivatives

(First Equation)(Der of 2nd Equation)+(2nd Equation)(Der of 1st Equation)

The Quotient Rule for derivatives

(Low equation)(deriv of high equation)-(high equation)(der of low equation) ALL OVER (Low equation)²

This is the equation for compounding continuously

A= Pe^rt

• Plug equation into “y=”

• Go to table and find the values

Solve for “r” ,Isolate to get r=

• Take the natural log of both sides

• ln(e^7r) → 7r

• ln(6) → ln(6)

ln(6)=7r

• Divide both sides by 7 → 0.26

How much money is worth 6% when compounded continuously

• 6% divide it by 100 → 0.06

• A=Pe^rt → 60,000=Pe^0.06(10)

• divide both sides by e^0.6

• 60,000/e^0.6 —> 32,929