Differentiation Questions

1. Differentiate the following function.y=(x^2-2x)(x 1)2. Find the tangent to the following curve

at the point with the x-coordinate shown.y=x^3-2x-2 (x=1)3. Find the values of x at which f(x)=x^3=3x 1 has a relative maximum and a relative minimum

then find the relative maximum value and the relative minimum value.4. Find the maximum and minimum values of y=x^3-6x^2 9x on the interval[0