The questions are in the photo below: I would like them all solved correctly.

1. Find the derivatives of the functions f(x) = cos2 x and g(x) = sin2 x. What does this tell you about the function f(x) + g(x)? Does this make sense? 2. (a) Ify = tan Ix, find dy da (b) Is the tangent to the graph of y = tan Ix vertical at any point? What can you conclude from this about the graph of y = tan a? (c) Use the result from part (a) and the chain rule to find d (tan (Vx)) where a > 0. dx (d) For a > 0, find and simplify the derivative of f(x) = tan 'x + tan-1 What does your result tell you about f