For # 2 - 7, Differentiate the following function. Do not simplify the result. 2. f (x) = (3x4 + x5) cot x 3. g(x) =2x5+5x3 6x - x2 4. h(x) = sec(x3 - 4x) 5. f (t ) = (tz + 3) (t2 - 3)3 (t4 - 9 ) 6. g(t) = [t + csc(3t - 1)]-2 7. h(t) = cos(5t) sec(t2) 8. Consider tan(xy) = x cos(y2) where y = f(x). Find - by implicit differentiation. 9. Consider xy + sin(y) = 5 where y = f (x). Find dx2 in term of x and y only. 10. Prove that- [tan x] = sec2 x