PLEASE HELP WITH MY DERIVATIVEs FULL EXPLANATIONS PLEASE

1. Determine f' ) for f(x) = sin (tan(cos x)) 2. a) Given that h(x) = f(x)g(x), and the following values, determine g' (1). h(1) 24 g(1) 6 f'(1) -2 h'(1) 20 b) Can any value(s) of a be selected, such that f(x) = vax? -4 has a tangent of slope 1 at x = 4? 3. Show that the functions f (x) = cos 2x and g(x) = 2cos2x have the same derivative, but no common tangents