Differentiate. When appropriate, you might consider first simplifying the expressions before differentiating. For example, In(a b) In a + lnb or ln(a) = bln a. 1. f(x) 2. f(8) = In x+1 with respect to x. In(28) (with respect to 8). 3. f(t) = In -6 (with respect to t). 4. f(t) = log (sint) (with respect to t). 5. Let y = n. Find and (the second derivative of In). dr 6. f(x) = ln x - 1| (with respect to x). 7. Find an equation of the tangent line to y = ln lnx at the point (e, 0) (notation: In In x = ln(lnx). Graph both the function and the tangent line. 8. Use logarithmic differentiation to find ()'. 9. Use logarithmic differentiation to find ((2-2)-(3x+1) -2)-(3x + 1))'. 2x