3. Given the function y = 5x – 2: (a) Find the difference quotient Ay/Ax. What type of function is it? (b) Since the expression
3. Given the function y = 5x – 2: (a) Find the difference quotient Ay/Ax. What type of function is it? (b) Since the expression Ax does not appear in the function Ay/Ax in part (a), does it make any difference to the value of Ay/Ax whether Ax is large or small? Conse quently, what is the limit of the difference quotient as Ax approaches zero?
Let f(x) = 6/x-3 Use the limit definition of the derivative to differentiate f. f'(x) = □ Determine the slope of f at x = 3. f'(3) = □
Derivatives_-_Chain_Rule Due in a day This question does not have an attempt limit. This problem is worth 1 point Your recorded score for this problem is 0.0%. Your submissions on this problem will be graded. Let F(x) = f(f(x)) and G(z) = (F(x)) and suppose that f(4) = 12, f(12) = 2, f'(12) = 3, 5'(4) = 6 Find F'(4) and G' (4) G'(4) You can earn partial credit on this problem Submit Answers
4. (4pt) See #6. (i) Find both derivatives, and sketch their sign diagrams. (ii) Answer the questions posed by #6. (iii) Find all critical points. (iv)Find all x- and y-intercepts. (v) Now draw axes, and sketch this function. 6. Let f(x) = 1 – x(2/3) Determine where the graph of the function is concave upward and where it is concave downward, and the inflection points, if any.