Multi step process to 2.2

Section 2.2: Problem 1 Previous Problem (1 point) Use the definition of the derivative (don't be tempted to take shortcuts!) to find the derivative of the function f(x) = 9x + 9w? Then use interval notation to state the domain of the function and the domain of the derivative. f'(x)= Domain of f (x) = Domain of f ' (x) = Section 2.2: Problem 2 (1 point) Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: ii! is the graph of the function EEE is the graph of the function's first derivative is the graph of the function's second derivative Section 2.2: Problem 3 (1 point) Let f (x) = i x + h) f(x) h Then the expression can be written in the form where A is a constant and A = 555 Using your answer from above we have: f'(x)=lim f(x+h)_f(x) = h->0 h _ Finally, find each of the following: f'(1)= f'(2) = f'(3) = x(x+ h), Section 2.2: Problem 4 (1 point) Let f (x) = |x 9|. Evaluate the following limits. 11 1'06) -f(9) _ I11 : \"9- x 9 m w = is! x>9+ x 9 Thus the function f (x) is not differentiable at 9. Section 2.2: Problem 5 Previous Problem Problem List Next Problem (1 point) Let f(x) = x- 2, x1 x2 + 8x - 9 2. If f (x) is differentiable at a, then f(x) is continuous at a 3. If lim f(x) = 0 and lim g(x) = 0, then lim[f(x)/g(x)] does not exist x-+7 4. If f' (1) exists, then then the limit lim f(x) is f(1) 5. lim x- + 3x -3 lim x + 3x - 3 x-1 x-1 x2 + 8x - 7 lim x2 + 8x - 7 x-1