1. Determine the derivative of y with respect to x for each function. a) y = cos (3x + 2x) b) y = sec (4x - 5) c) y = cot (sin x) 2. Differentiate. sin * a) y= x sin (6x - 3x) b) V= COST' 3. a) Determine an equation of the tangent to the curve y = x cos x at the point (-1, I). b) Sketch the function y = x cos x for x E (-2x,2 n.). (state all the local max, min point and point of inflections) c) Determine if the function y = x cos x is even, odd, or neither. d) Use your results from part c) to determine an equation of the tangent to the curve y = x cos x at the point (, -A)