4. Evaluate each of the following limits, if they exist. 14] lim x+2 x2 +4 Vx+7- 17-x a) x-2 b) lim 2x X-0 5. Find, using first principles, the derivative of the function f(x) = = 2x-5 ' [5] f'(x) = lim /(x+h)-f(x) h Recall: h-0 6. Rewrite the functions below so that the functions are expressed as sums (and/or differences) of powers of x that are being multiplied by a constant. i.e. If f(x) = 1 162 2 x2 then f(x) =-x2+2x4 (3x) Find the derivative of the re-written functions. [6] a) V : b) f(x) = (2x) y=Zx' - 3x3 7. Explain why the derivative of f(x) =e is f'(x)=0. [1]