Homework 09: Problem 1 (1 point) Suppose f(x) = 7(sin(x)). Correct to 4 decimals, find: f'(3) = = [Recall: In(ab) = ln(a) +ln(b).] Suppose f(x)=x4. Find: (a) f'(x) = (b) f'(1) = = Suppose y ln(x + y). Find: y'(1) = = Suppose 4x+5x + xy = 4 and y(4) = -20. Find: y'(4) = Suppose m = x + 4y = - 8. Find the slope m of the tangent line to the curve at the point (1, 7). Find all critical numbers c of f(x) = 4x ln x. c = Note: If there is more than one critical number, separate them by a comma. Find all critical numbers c of f(x) = (5x+9)e-6x c = Note: If there is more than one critical number, separate them by a comma.