12. [010.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.1.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a commaseparated list. Use 17 to denote any arbitrary integer values. If an answer does not exist, enter DNE.) g(9) = 166 7 4 tan(6) 9: DNE x 13. [010.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.1.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a commaseparated list. Use 17 to denote any arbitrary integer values. If an answer does not exist, enter DNE.) {(9) = 4 cos(e) + 2 sin2(6) EEnhanced Feedback EPlease try again. To find critical numbers of a differentiable function, you need to differentiate the given function f(6) and solve for Sin the equation f'(6) = 0. All solutions, as well as the } Epoints where the function is not differentiable, are the critical numbers. Make sure that you use the Chain Rule when differentiating the function. Recall that sin(6) : 0 has solutions given Eby 9 = n7r for any integer n and cos(6) = 1 has solutions given by S = 2m: for any integer n. I Need Help? 14. [-/0.33 Points] DETAILS SCALCET8 4.1.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the absolute maximum and absolute minimum values offon the given interval. x) : 14 + 2x x2, [0, 5] absolute minimum value absolute maximum value Need Help? 3. [-/0.33 Points] DETAILS SCALCET8 4. 1.005. MY NOTES ASK YOUR TEACHER Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y = f(x) 0 x absolute maximum value absolute minimum value local maximum value(s) local minimum value(s) Need Help? Watch It9. [0/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.1.035.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g ( y ) = - - 3 y2 - 3y + 9 DNE Need Help? Watch It Master It 10. [0/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4. 1.037.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) h(t) = +3/4 - 3+1/4 t = DNE Need Help? Watch It Master It 11. [0/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.1.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) F ( x ) = x4/5( x - 4)2 X = DNE X :Enhanced Feedback To find critical numbers of a differentiable function, you need to differentiate the given function F(x) and solve for x in the equation F'(x) = 0. All solutions, as well as the points where the function is not differentiable, are the critical numbers. Make sure that you use the Product Rule when differentiating the function. - - - - - - - - Need Help? Watch It15. [-/0.33 Points] DETAILS SCALCET8 4.1.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 3+ 54x - 2x5, [0, 4] absolute minimum value absolute maximum value 16. [-/0.33 Points] DETAILS SCALCET8 4.1.051. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x4 - 8x3 - 24x2+ 1, [-2, 3] absolute minimum value absolute maximum value Need Help? Watch It 17. [-/0.33 Points] DETAILS SCALCET8 4.1.054. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the absolute maximum and absolute minimum values of f on the given interval. f ( x ) = - x2 - x+ 16 [0, 12] absolute minimum value absolute maximum value2. [IO.33 Points] SCALCET8 4.1.003. ASK YOU R TEACHER For each of the numbers a, b, c, d, r, and 5, state whether the function whose graph is shown has an absolute maximum or minimum, a local maximum or minimum, or neither a maximum nor a minimum. (Enter your answers as a comma-separated list.) absolute maximum absolute minimum local maximum local minimum neither a maXimum nor a minimum .V 5. [II/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.1.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(X)=9+X*3X 1 8 DNE X l 2 Need Help? 7. [0/033 Points] DETAILS PREVIOUS ANSWERS SCALCETB 4.1.030. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3 + 3X2 105x DNE X