Establish the following differentiation formulas: (a) (sin z)' = cos z (b) (cos z)' = -sin z (c) (sinh z)' = cosh z (d) (cos h z)' = sin h z (e) (tan z)' = sec^2 z (f) (arcsin z)' = (1 - z^2)^-1/2 (g) (arctan z)'= (1 +z^2)^-1 refer to section 5 of chapter 1 for the definitions of these functions. use the rules for differentiation, formulas (2) to (6), to find the derivative the functions in exercises 2 to 7. 2. z^2 + 10 z 3. exp (z^3 - z) 4. [cos (z^2)]^3 5. (z^3 + 6/(log z)^3 on the plane minus the negative reals 7. sin h(e^)