Further Calculus1

Differentiate the following with respect to x, and leave the answer with positive indices.

1. ²

2.

3. 1 – 2sin²(x)

4. Show for the curve y = cos²(x) that and find the equation of the tangent to y when

5. Show that the function f(x) = 2cos(x/2) + x is never decreasing, and find any stationary points in the interval 0 < x < . What kind of S.P’s must it be?