MAT136H1 Chapter 3c: Class3C_Notes

2. Use partial fractions to evaluate the following integrals. 1/2 dz (a) 0 1-22 2 +3-10

Use properties of logarithms to expand each logarithm expression as much as possible log_3 3x^2/square root y Use properties of logarithms to condense each logarithm expression. Write the expression as a single logarithm whose coefficient is 1. 2 In(x + 6) + 5 ln(x - 1) - 2 ln x log 12 + log 3 - log 6 Solve the following equations. Round your answer to two decimal places when necessary. 8^5x = 4^3x - 1 7^x = 4

2. In xx + 1) 4xx -7 2) 5. 1n In Exercises 7 and 8, find dy/dx implicitly 8. In Exercises 9 and 10, find the second derivative of the funct 10. f 9,f(x) =z?(x + 1)-3x3 Exercises 4.5 See CalcChat.com tor tutor 回饉回Differentiating Logarithmic Functions In Exercises 1-22, find the derivative of the function. See Examples 1, 2, 3, and 4 回 3, y ln(x2 + 3) 7, y = (In x)4 9, f(x)-2x ln x 29. log 31. log 33. loga 6, y = In/1-2x 8, y = (In x2)2 In x 14, y=ln 13, y= In 37. 15. in 18 17