HW HELP: please show work. THANK YOU!!

1) Write the Product Rule for differentiation. (1 point) 2) Write the Quotient Rule for differentiation. (1 point) 3) Complete the table with the derivatives of the trig functions. (1 point) Trig Derivative Trig Derivative Function Function sin x COS X tan x cot x sec x CSC xFor #4 through #11, differentiate each function using the product and quotient rules of differentiation. You must show all work for each step to receive full credit. (1 point each) 4 ) F (x) = (x2 + 1)(x2 - 2x) 5) F(x) = (6x + 5)(x3 - 2) 6) F(x) = x' cos x 7) F(x) = x tan x8 t2 + 2 F(x) = 2t - 7 9) sin x J = 10) sec x J = X