Show work where possible 1. Use logarithmic differentiation to find the derivate. y = xVx2 + 1 (x + 1) 2/3 2. Use implicit differentiation to find the derivative sin x - xy + y = 10x3. Find the derivative. y = [cos (5x - 9)] 4. Find the critical points. f(x) =x 9 -x) 5. Find the linearization of f(x) = cos(x) at a =9. Using the definition of a derivative, find the slope of the tangent line f(x) = 1-x - x2. x = 2 10. Use the definition of derivative to find f' (x) when f(x) = Vx - 6 11.Does the IVT apply? If the theorem applies, find the guaranteed value of c. Otherwise, explain why the theorem does not apply. f(x) =x2 -4x+1 on the interval [3, 7], N = 10