Hi, some practice questions I didn't understand. Much appreciated!

f(x + h) - f(x) Use the formal definition of differentiation as a limit, f'(x) = lim to h-0 h differentiate the function f(x) = V1 + 2x.Show by implicit differentiation that the tangent to the hyperbola = 1 at the point (To, yo) is yyo 1. Hint: yo2 62 a2 62Find all intervals of increasing, decreasing, concave upward and concave downward of the function f(0) = 2 cos(0) + sin (0), 0 5 0 5 27