4) Finding slope and rate of change: Compute the derivative of the f(x) = Vx and then use it to a) Find the equation of the tangent line to the curve vx at the point where x = 4 b) Find the rate at which y = vx is changing with respect to x when x =1 5) Use the definition of the derivative to differentiate f(x) = lim FRth) - Fx xth X ( x + ( ) ( * + 1 )_(* >xtut ) ho h xth+1 x + 1 = ( x tut * * * + 1) ( x+ 1)( x+ hit1) h h = x xx thath ( xth+ 1 ) ( x+1 ) ( x +1 ( + U+ 1 ) ( x+1) ( *+h+1 ) = ( *+1 Xxfli+1 ) = lim = ( *+1 ) (xto+1 ) - (ty(*+1 ) 6) Suppose that f(x) = { Atx if x