Section 3.6: Derivative of Logarithmic Functions 1. (6 pts) Differentiate the following functions and simplify. Hint: you might use the logarithmic properties if necessary. a. h(t) = In|sin (Int)| b. f(x) = log3(e* + x2e* ) c. y = In etanx (5x-1)*) Vy+1 .Find dy/dx. 2. (6 pts) Use logarithmic differentiation to find the derivative ~ if (Vx) = (Vy)*. 3. (6 pts) Given f(x) = x, find its tangent line at (1, 1)