1. Write the derivative of each function using proper notation. DO NOT SIMPLIFY your answer. [9K,1C] VE- al (3-x)5 b) f (x) = (2x-3)3 - 5x] d) h(x) =(3x*-4x3 +1)(3x-5x* ) 2. Find the slope of the tangent to the curve } = 2,3 at the point (1, = ). [4K]3. Find the point(s) where the tangent(s) to Y = 3 -3x is perpendicular to the line x +6y -3 =0. [4A] 2 4. Given i = V1-v , V= w--1 , w=3x-1, determine the derivative: [5A] dv du a) dx at x =-1 b) dy at 1=-15. Find the slope(s) of the tangent(s) to the curve )' =-2x* that passes through the point (1, 0). You must include a diagram in your solution. [4A,1C] 6. Is the function f(x) differentiable everywhere? Show all algebraic steps. Explain using full sentences why the function is differentiable or not differentiable. Clearly describe the condition(s). [5C] a) f(x) = xx - 1 b) f (xx) = Vx2 - 17. Find a quadratic function through (2,9) knowing that the slope of the tangent at (1,4) is -2. Include a diagram. [6T, 1C]