Question

6. (5 points) Find the second derivative g''(x) for g(x) = x tan x. No need to simplify! 7. (10 points) Let f(x) = x^3 - 3x + 6. Find the relative extreme values using (a) the First Derivative Test (A sign chart for f '(x) is required.) (b) Applying the Second Derivative Test to classify each of the critical points as a relative minimum value or relative maximum value. 8. (10 points) Let f(x) = x^4 - 6x^2 + 8x + 10 (a) Determine the intervals on the x-axis on which f(x) is concave upward and those on which it is downward. (b) Find all inflection points. 9. (10 points) Find dy/dx using implicit differentiation x^2 + x^2y^2 + y^3 = 3 10. (10 points) Sketch a graph of the given function using Key Idea 3.5.1. Show all work. f(x) = -x^2 - 2x + 3

          6. (5 points) Find the second derivative g''(x) for g(x) = x tan x. No need to simplify!
7. (10 points) Let f(x) = x^3 - 3x + 6. Find the relative extreme values using
(a) the First Derivative Test (A sign chart for f '(x) is required.)
(b) Applying the Second Derivative Test to classify each of the critical points as a relative minimum value or relative maximum value.
8. (10 points) Let f(x) = x^4 - 6x^2 + 8x + 10
(a) Determine the intervals on the x-axis on which f(x) is concave upward and those on which it is downward.
(b) Find all inflection points.
9. (10 points) Find dy/dx using implicit differentiation x^2 + x^2y^2 + y^3 = 3
10. (10 points) Sketch a graph of the given function using Key Idea 3.5.1. Show all work.
f(x) = -x^2 - 2x + 3

6. (5 points) Find the second derivative g”(x) for g(x) = x tan x. No need to simplify!
7. (10 points) Let f(x) = x^3 - 3x + 6. Find the relative extreme values using
(a) the First Derivative Test (A sign chart for f '(x) is required.)
(b) Applying the Second Derivative Test to classify each of the critical points as a relative minimum value or relative maximum value.
8. (10 points) Let f(x) = x^4 - 6x^2 + 8x + 10
(a) Determine the intervals on the x-axis on which f(x) is concave upward and those on which it is downward.
(b) Find all inflection points.
9. (10 points) Find dy/dx using implicit differentiation x^2 + x^2y^2 + y^3 = 3
10. (10 points) Sketch a graph of the given function using Key Idea 3.5.1. Show all work.
f(x) = -x^2 - 2x + 3

Added by John V.

Question

Please give Ace some feedback