3. Use the formal definition of differentiation as a limit, f'(x) = lim f(act h ) - f ( 20 ) , to h -0 h differentiate the function f(x) = V1 + 2x. 4. Show by implicit differentiation that the tangent to the hyperbola yz 62 = 1 at the point (xo, yo) is yyo yo ? = 1. Hint: XO 2 2. a 2 62 = a2 5. Find all intervals of increasing, decreasing, concave upward and concave downward of the function f(0) = 2 cos(0) + sin?(0), 0 5 0