1. For the function f (x) = x4 determine an approximation for the slope of the tangent to the curve at the point where a= 0.5. Use f(ath) - f(a) , and h = 0.1. Show all your steps. 2. a) For the function f(x) = - find an expression for the slope of a tangent at any using lim J(ath)-f(a) h Simplify the expression. This is a function for slope of the function. Then evaluate this expression by substituting a = 1. Note : What you are doing here is finding the value of the slope of the tangent of f(x)= 1/x2 at the point x = 1. b) Determine the equation of this tangent line (in the form y = mx + b) using the slope of the tangent line of f(x) = 1/x2 at the point x = 1 or (1, 1)