Answer questions 1, 2, 5 and 6 based off of Math 31

Differentiate. (a) nx) = x2 In x (c) g(x) = In(x3 + (e) y sin(ln x) 1) (b) (d) (f) (h) In(5x) y In(sin x) 384 CHAPTER 8 EXPONENTIAL AND LOGARITHMIC FUNCTIONS (i) y = In12x -F II x (k) Y = In 2v+3 (m) y = In(sec x + tan x) y (l) (n) 2. 3. 4. 5. 6. (a) Iff(x) = In(ln x), find f'(x). (b) Find the domains off and f'. Find the derivative of each function. (a) .f(x) = log2(x2 + I) (c) F(x) = logs(3x 8) Differentiate. (a) y = x3 + 3x (c) y = x5Vi (b) (d) (b) (d) + In x y = In - 3x)l tan[ln(l y g(x) = x Iogl() x I + Iog3X I Otan Find the equation of the tangent line to each curve at the given point. (a) y = In(x I), (2, O) (1, 10) Find y' if In(x + y) = Y I (b) y = x2 In x, (I, O) (d) y = loglox, (100, 2)